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Search: id:A101604
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A101604 a(n)=2a(n-1)+5a(n-2)+2a(n-3). +0
1
1, 2, 9, 30, 109, 386, 1377, 4902, 17461, 62186, 221481, 788814, 2809405, 10005842, 35636337, 126920694, 452034757, 1609945658, 5733906489, 20421610782, 72732645325, 259041157538, 922588763265, 3285848604870, 11702723341141 (list; graph; listen)
OFFSET

0,2

COMMENT

Transform of 2^n under Riordan array A101603.

FORMULA

G.f.: 1/((1+x)(1-3x-2x^2)); a(n)=(3/4+sqrt(17)/4)^n*(1/4+7sqrt(17)/68)+(1/4-7sqrt(17)/68)(3/4-sqrt(17)/4)^n+(-1)^n/2; a(n)=(A007483(n)+(-1)^n)/2.

CROSSREFS

Adjacent sequences: A101601 A101602 A101603 this_sequence A101605 A101606 A101607

Sequence in context: A056778 A056288 A056283 this_sequence A084652 A002774 A109770

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Dec 08 2004

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


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