General Fibonacci Numbers
From charlesreid1
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Mathematical Constants
Irrational Numbers: Euler-Mascheroni Constant · Sqrt2 · Phi · Sqrt3 · e · Sqrt5 · Sqrt6 · Sqrt7 · Sqrt8 · Pi · Sqrt10 · Sqrt11 · Pi to the Pi Prime Numbers: Prime Numbers · Palindromic Primes · Prime Generating Polynomials · Belphegors Prime Sequences: Fibonacci Numbers · Lucas Numbers · General Fibonacci Numbers Number Forms: Fermat Numbers · Mersenne Primes · Counting and Combinatorics: Catalan Numbers · Shannon Number · Eddington Number Tetration and Knuth's Up Notation: Tetration Factoring and Number Theory: Divisibility · Totient Function Games: Four Fours · Five Fives
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General Fibonacci numbers generalize the idea behind the Fibonacci and Lucas numbers, and can be written as a function of two additional variables $ a, b $ - the two starting values of the sequence.
$ G(a,b,n) = G(a,b,n-1) + G(a,b,n-2) \qquad G(a,b,0) = a, G(a,b,1) = b $