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Search: id:A123362
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| A123362 |
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a(0)=1, a(1)=1, a(n)=6*a(n-1)+5*a(n-2)for n>1. |
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+0
1
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| 1, 1, 11, 71, 481, 3241, 21851, 147311, 993121, 6695281, 45137291, 304300151, 2051487361, 13830424921, 93239986331, 628592042591, 4237752187201, 28569473336161, 192605600952971, 1298480972398631, 8753913839156641
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}5^(n-k)*A122542(n,k) . G.f.:(1-5*x)/(1-6*x-5*x^2).
a(n)=(1/2)*[3+sqrt(14)]^n+(1/2)*[3-sqrt(14)]^n-(1/14)*[3+sqrt(14)]^n*sqrt(14)+(1/14)*[3 -sqrt(14)]^n*sqrt(14), with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
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CROSSREFS
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Adjacent sequences: A123359 A123360 A123361 this_sequence A123363 A123364 A123365
Sequence in context: A089720 A139850 A049350 this_sequence A068847 A139185 A103998
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 12 2006
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