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A107858 a(n) = b(k), where b(k) = Fibonacci(n-1) and k = floor( n*(1+sqrt(5))/2 ). 1
1, 1, 2, 3, 7, 11, 28, 45, 117, 189, 494, 799, 2091, 3383, 8856, 14329, 37513, 60697, 158906, 257115, 673135, 1089155, 2851444, 4613733, 12078909, 19544085, 51167078, 82790071, 216747219, 350704367, 918155952, 1485607537, 3889371025 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Lim_{n -> oo} a(n+1)/a(n) does not exist.

Apparently the same as A107857. - Georg Fischer, Nov 02 2018

LINKS

Table of n, a(n) for n=1..33.

MATHEMATICA

F[1] = 0; F[2] = 1; F[n__] := F[n] = F[n - 1] + F[n - 2]

Table[F[ Floor[(Sqrt[5] + 1)*n/2]], {n, 1, 50}] (* F[n] are the Fibonacci numbers, A000045, with offset 1 *)

CROSSREFS

Cf. A000045, A107857, A185381.

Sequence in context: A095055 A305750 A107857 * A214938 A143926 A112840

Adjacent sequences: A107855 A107856 A107857 * A107859 A107860 A107861

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Jun 12 2005

EXTENSIONS

Edited by N. J. A. Sloane, May 06 2012

STATUS

approved

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Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)