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A015525 Linear 2nd order recurrence. +0
2
0, 1, 3, 17, 75, 361, 1683, 7937, 37275, 175321, 824163, 3875057, 18218475, 85655881, 402715443, 1893393377, 8901903675, 41852858041, 196773803523, 925144274897, 4349623252875, 20450023957801, 96147057896403 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = 3 a(n-1) + 8 a(n-2).

O.g.f.: -x/(-1+3*x+8*x^2). a(n)=-16^n*(A^n-B^n)/sqrt(41) where A=-1/(3+sqrt(41)) and B=1/(sqrt(41)-3) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 29 2008

CROSSREFS

Sequence in context: A128948 A049181 A100233 this_sequence A062224 A093568 A083217

Adjacent sequences: A015522 A015523 A015524 this_sequence A015526 A015527 A015528

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (ogerard(AT)ext.jussieu.fr)

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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