🔮 UNNS Advanced Mathematical Explorer
Extended sequences, advanced analysis, and real-time animations
📚 Sequences
🔧 Custom
🎬 Animation
⊞ Matrix
📐 Binet
∑ Generating
p-adic
◉ Modular
∿ Non-Linear
📚 Extended Sequence Library
Sequence Type:
Fibonacci
Lucas
Pell
Jacobsthal
Narayana
Perrin
Tribonacci
Tetranacci
Pentanacci
Padovan
Number of Terms:
Generate & Analyze
🔧 Custom Linear Recurrence
Recurrence Order (k):
Coefficients (c₁, c₂, ..., cₖ):
Initial Values:
Generate Terms:
Generate Custom Sequence
🎬 Real-Time Animation
Animation Type:
Term-by-Term Generation
Sequence Morphing
Modular Residue Flow
Ratio Convergence
Sequence:
Fibonacci
Lucas
Pell
Tribonacci
▶ Play
⏸ Pause
⏹ Reset
Speed:
⊞ Matrix Representation
Sequence Type:
Fibonacci
Lucas
Pell
Tribonacci
Matrix Power (n):
Compute Matrix Powers
📐 Binet Formula Calculator
Select or enter characteristic polynomial:
Fibonacci (x² - x - 1)
Lucas (x² - x - 1)
Pell (x² - 2x - 1)
Custom Polynomial
Enter polynomial coefficients (highest to lowest degree):
Calculate Binet Formula
∑ Generating Functions
Sequence Type:
Fibonacci
Lucas
Pell
Catalan
Function Type:
Ordinary (OGF)
Exponential (EGF)
Generate Function
p-adic Analysis
Sequence:
Fibonacci
Lucas
Pell
Prime p:
Terms to Analyze:
Analyze p-adic Properties
◉ Modular Visualization
Sequence:
Fibonacci
Lucas
Pell
Modulus:
Terms:
Visualize Modular Pattern
Animate Flow
∿ Non-Linear Sequences
Sequence Type:
Catalan Numbers
Factorial
Bell Numbers
Prime Numbers
Partition Function
Terms:
Generate & Compare