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Search: id:A015529
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A015529 Linear 2nd order recurrence. +0
1
0, 1, 3, 20, 93, 499, 2520, 13049, 66867, 344140, 1767957, 9089411, 46715760, 240130801, 1234265763, 6344236100, 32609631693, 167615492179, 861552425160, 4428427689449, 22762359745107, 116999783819260 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = 3 a(n-1) + 11 a(n-2).

O.g.f.: -x/(-1+3*x+11*x^2). a(n)=-22^n*(A^n-B^n)/sqrt(53) where A=-1/(3+sqrt(53)) and B=1/(sqrt(53)-3) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 29 2008

CROSSREFS

Sequence in context: A006411 A129549 A092786 this_sequence A000948 A074831 A000917

Adjacent sequences: A015526 A015527 A015528 this_sequence A015530 A015531 A015532

KEYWORD

nonn,easy

AUTHOR

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

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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