:root {
 
            --accent-color: #01497c;
            --sequence-color: #e83e8c;
            --convergence-color: #28a745;
            --divergence-color: #dc3545;
            --light-gray: #f8f9fa;
            --border-color: #eaeaea;
            --text-color: #333;
            --text-muted: #6c757d;
            --success-color: #28a745;
            --warning-color: #ffc107;
            --math-color: #6f42c1;
            --calc-color: #e83e8c;
        }.sequence-types {
    display: grid;
    grid-template-columns: repeat(auto-fill, minmax(300px, 1fr));
    gap: 1.5rem;
    margin: 1.5rem 0;
}.sequence-type {
    background: white;
    border-radius: 8px;
    padding: 1.5rem;
    border: 1px solid var(--border-color);
    box-shadow: 0 2px 4px rgb(0 0 0 / 5%);
}.sequence-type h4 {
    font-weight: 600;
    margin-bottom: 0.75rem;
    color: var(--primary-color);
}
         .page-header {
            background: linear-gradient(135deg, rgba(169, 214, 229, 0.4) 0%, rgba(44, 125, 160, 0.4) 100%);
            padding: 1.5rem 0;
            margin-bottom: 2rem;
            border-bottom: 1px solid rgba(44, 125, 160, 0.2);
            position: relative;
            overflow: hidden;  color: var(--text-color);
        }
        .breadcrumb {
            background-color: transparent;
            padding: 0.5rem 0;
            margin-bottom: 0.5rem;
        }
        .breadcrumb-item a {
            color: var(--text-muted);
            text-decoration: none;
        }
        .breadcrumb-item.active {
            color: var(--text-color);
        }
        .form-control:focus {
            border-color: var(--primary-color);
            box-shadow: 0 0 0 3px rgba(44, 125, 160, 0.15);
        }
        .math-input {
            font-family: 'Cambria Math', 'Latin Modern Math', STIXGeneral, serif;
            font-size: 1.1rem;
        }
        .btn-sequence {
            background-color: var(--sequence-color);
            border-color: var(--sequence-color);
            font-weight: 600;
            padding: 0.75rem 1.5rem;
            border-radius: 6px;
            transition: all 0.3s;
        }
        .btn-sequence:hover {
            background-color: #d62c6d;
            border-color: #d62c6d;
            transform: translateY(-1px);
        }
        .sequence-examples {
            display: flex;
            flex-wrap: wrap;
            gap: 0.5rem;
            margin: 1rem 0;
        }
        .example-btn {
            background-color: rgba(44, 125, 160, 0.1);
            border: 1px solid rgba(44, 125, 160, 0.2);
            border-radius: 4px;
            padding: 0.5rem 0.75rem;
            font-size: 0.9rem;
            color: var(--primary-color);
            cursor: pointer;
            transition: all 0.2s;
            font-family: 'Courier New', monospace;
        }
        .example-btn:hover {
            background-color: rgba(44, 125, 160, 0.2);
            transform: translateY(-2px);
        }
        .example-btn.sequence {
            background-color: rgba(232, 62, 140, 0.1);
            border: 1px solid rgba(232, 62, 140, 0.2);
            color: var(--sequence-color);
        }
        .example-btn.sequence:hover {
            background-color: rgba(232, 62, 140, 0.2);
        }
        .initial-conditions {
            display: flex;
            flex-wrap: wrap;
            gap: 1rem;
            margin-bottom: 1rem;
        }
        .initial-condition {
            display: flex;
            align-items: center;
            background-color: var(--light-gray);
            padding: 0.5rem 1rem;
            border-radius: 6px;
            border: 1px solid var(--border-color);
        }
        .condition-index {
            font-weight: 600;
            margin-right: 0.5rem;
        }
        .condition-value {
            font-family: 'Courier New', monospace;
            background-color: white;
            padding: 0.25rem 0.5rem;
            border-radius: 4px;
            border: 1px solid #ddd;
            min-width: 60px;
        }
        .add-condition-btn {
            background-color: transparent;
            border: 1px dashed var(--primary-color);
            color: var(--primary-color);
            border-radius: 6px;
            padding: 0.5rem 1rem;
            cursor: pointer;
            transition: all 0.3s;
        }
        .add-condition-btn:hover {
            background-color: rgba(44, 125, 160, 0.1);
        }
        .sequence-table-container {
            overflow-x: auto;
            margin: 1.5rem 0;
        }
        .sequence-table {
            width: 100%;
            border-collapse: collapse;
            font-family: 'Courier New', monospace;
        }
        .sequence-table th {
            background-color: var(--primary-color);
            color: white;
            font-weight: 600;
            padding: 0.75rem;
            text-align: center;
        }
        .sequence-table td {
            padding: 0.75rem;
            text-align: center;
            border: 1px solid var(--border-color);
        }
        .sequence-table tr:nth-child(even) {
            background-color: rgba(44, 125, 160, 0.05);
        }
        .sequence-table tr:hover {
            background-color: rgba(44, 125, 160, 0.1);
        }
        .convergence-analysis {
            display: flex;
            flex-wrap: wrap;
            gap: 1.5rem;
            margin: 1.5rem 0;
        }
        .convergence-card {
            flex: 1;
            min-width: 250px;
            background: white;
            border-radius: 8px;
            padding: 1.5rem;
            border: 1px solid var(--border-color);
            box-shadow: 0 2px 4px rgba(0,0,0,0.05);
        }
        .convergence-card.convergent {
            border-top: 4px solid var(--convergence-color);
        }
        .convergence-card.divergent {
            border-top: 4px solid var(--divergence-color);
        }
        .convergence-value {
            font-size: 1.5rem;
            font-weight: 700;
            color: var(--primary-color);
            margin-bottom: 0.5rem;
        }
        .convergence-label {
            color: var(--text-muted);
            font-size: 0.9rem;
        }
        .math-box {
            background-color: rgba(111, 66, 193, 0.05);
            border-left: 3px solid var(--math-color);
            padding: 1rem;
            border-radius: 0 4px 4px 0;
            margin: 1.5rem 0;
        }
        @media (max-width: 768px) {
            .convergence-analysis {
                flex-direction: column;
            }
        }
        .pattern-badge {
            display: inline-block;
            background-color: rgba(232, 62, 140, 0.1);
            color: var(--sequence-color);
            padding: 0.25rem 0.75rem;
            border-radius: 50px;
            font-size: 0.85rem;
            font-weight: 600;
            margin-right: 0.5rem;
            margin-bottom: 0.5rem;
        }
        .closed-form {
            background-color: rgba(40, 167, 69, 0.1);
            border-left: 3px solid var(--convergence-color);
            padding: 1rem;
            border-radius: 0 4px 4px 0;
            margin: 1.5rem 0;
        }
        .recurrence-display {
            font-family: 'Cambria Math', 'Latin Modern Math', STIXGeneral, serif;
            font-size: 1.2rem;
            text-align: center;
            padding: 1rem;
            background-color: rgba(44, 125, 160, 0.05);
            border-radius: 6px;
            margin: 1rem 0;
        }
        .error-message {
            background-color: rgba(220, 53, 69, 0.1);
            border-left: 3px solid var(--divergence-color);
            padding: 1rem;
            border-radius: 0 4px 4px 0;
            margin: 1rem 0;
            color: var(--divergence-color);
        }
        .advanced-options {
            border: 1px solid var(--border-color);
            border-radius: 6px;
            padding: 1rem;
            margin-top: 1rem;
            background-color: var(--light-gray);
        }
        .advanced-toggle {
            display: flex;
            align-items: center;
            cursor: pointer;
            color: var(--primary-color);
            font-weight: 600;
        }
        .advanced-content {
            margin-top: 1rem;
            display: none;
        }