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Search: id:A134490
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A134490 Fibonacci(5n+3). +0
19
2, 21, 233, 2584, 28657, 317811, 3524578, 39088169, 433494437, 4807526976, 53316291173, 591286729879, 6557470319842, 72723460248141, 806515533049393, 8944394323791464, 99194853094755497, 1100087778366101931 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n)=11a(n-1)+a(n-2). - Paul Curtz (bpcrtz(AT)free.fr), May 07 2008

a(n)=-(2/5)*[11/2-(5/2)*sqrt(5)]^n*sqrt(5)+[11/2-(5/2)*sqrt(5)]^n+(2/5)*sqrt(5)*[11/2+(5/2) *sqrt(5)]^n+[11/2+(5/2)*sqrt(5)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 03 2008]

G.f.: (2-x)/(1-11x-x^2). a(n)=|A122574(n+2)|+A049666(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 02 2008]

MATHEMATICA

Table[Fibonacci[5n + 3], {n, 0, 30}]

CROSSREFS

Cf. A000045, A001906, A001519, A033887, A015448, A014445, A033888, A033889, A033890, A033891, A102312, A099100, A134490, A134491, A134492, A134493, A134494, A134495, A134496, A134497, A134498, A134499, A134500, A134501, A134502, A134503, A134504.

Sequence in context: A024231 A069717 A036679 this_sequence A045726 A105712 A087677

Adjacent sequences: A134487 A134488 A134489 this_sequence A134491 A134492 A134493

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Oct 28 2007

EXTENSIONS

Offset changed to 0 by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 28 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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