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Search: id:A015533
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A015533 a(n) = 4 a(n-1) + 9 a(n-2). +0
1
0, 1, 4, 25, 136, 769, 4300, 24121, 135184, 757825, 4247956, 23812249, 133480600, 748232641, 4194255964, 23511117625, 131792774176, 738771155329, 4141219588900, 23213818753561, 130126251314344, 729429374039425 (list; graph; listen)
OFFSET

0,3

FORMULA

O.g.f.: -x/(-1+4*x+9*x^2). a(n)=-9^n*(A^n-B^n)/(2sqrt(13)) where A=-1/(2+sqrt(13)) and B=1/(sqrt(13)-2) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 29 2008

CROSSREFS

Sequence in context: A069639 A013582 A123660 this_sequence A079291 A072221 A055846

Adjacent sequences: A015530 A015531 A015532 this_sequence A015534 A015535 A015536

KEYWORD

nonn,easy

AUTHOR

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

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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