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Search: id:A015584
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A015584 Linear 2nd order recurrence. +0
1
0, 1, 9, 89, 873, 8569, 84105, 825497, 8102313, 79524793, 780541641, 7661073113, 75193991145, 738034505209, 7243862476041, 71099038326041, 697842244742697, 6849372509292601, 67227090541574985 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = 9 a(n-1) + 8 a(n-2).

a(n)=-(1/113)*sqrt(113)*[9/2-(1/2)*sqrt(113)]^n+(1/113)*sqrt(113)*[9/2+(1/2)*sqrt(113)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 05 2008]

CROSSREFS

Sequence in context: A111918 A064616 A133486 this_sequence A072256 A138288 A059482

Adjacent sequences: A015581 A015582 A015583 this_sequence A015585 A015586 A015587

KEYWORD

nonn,easy

AUTHOR

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

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Last modified September 7 12:28 EDT 2008. Contains 143483 sequences.


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