A116557 Backward iterated ( limited ) Fibonacci approximation: A000045.

1, 3, 6, 11, 19, 32, 52, 85, 139, 225, 365, 592, 958, 1551, 2511, 4064, 6577, 10642, 17220, 27863, 45084, 72948, 118033, 190982, 309016

Offset

0,2

Comments

This approximation is used to determine the number of generations of Fibonacci rabbits required to get back to the start: this is set for 25 generations at a starting population of 500,000 rabbits.

Links

Table of n, a(n) for n=0..24.

Formula

a(n) = Floor[a(n-1)*(-1/2+Sqrt[5])/2]

Mathematica

f[0] = 500000; f[n_] := f[n] = Floor[f[n - 1]*(-1/2 + Sqrt[5]/2)] a = Table[f[n], {n, 25, 1, -1}]

Crossrefs

Cf. A000045.

Sequence in context: A144115 A183088 A326957 * A001911 A020957 A179006

Adjacent sequences: A116554 A116555 A116556 * A116558 A116559 A116560

Keyword

nonn,uned,obsc,less

Author

Roger L. Bagula, Mar 16 2006

Status

approved