Fibonacci

Fibonacci(n)

returns the Fibonacci number of the integer n

Fibonacci(n, var)

returns the nth Fibonacci polynomial for variable var.

See

• Wikipedia - Fibonacci number
• Wikipedia - Fibonacci polynomials
• Fungrim - Fibonacci numbers

Examples

>> Fibonacci(0)
0

>> Fibonacci(1)
1

>> Fibonacci(10)
55

>> Fibonacci(-52)
-32951280099

>> Fibonacci(200)
280571172992510140037611932413038677189525

>> Fibonacci(50, x)
25*x+2600*x^3+80730*x^5+1184040*x^7+10015005*x^9+54627300*x^11+206253075*x^13+
565722720*x^15+1166803110*x^17+1855967520*x^19+2319959400*x^21+2310789600*x^23+
1852482996*x^25+1203322288*x^27+635745396*x^29+273438880*x^31+95548245*x^33+
26978328*x^35+6096454*x^37+1086008*x^39+148995*x^41+15180*x^43+1081*x^45+48*x^47+x^49

Implementation status

• ✅ - full supported

Github

• Implementation of Fibonacci