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Search: id:A133356
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| A133356 |
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a(n)=2a(n-1)+16a(n-2) for n>1, a(0)=1, a(1)=1 . |
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+0
3
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| 1, 1, 18, 52, 392, 1616, 9504, 44864, 241792, 1201408, 6271488, 31765504, 163874816, 835997696, 4293992448, 21963948032, 112631775232, 576686718976, 2955481841664, 15137951186944
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Binomial transform of A001026 (powers of 17), with interpolated zeros .
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FORMULA
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G.f.: (1-x)/(1-2x-16x^2).
a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*17^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 26 2007
a(n)=(1/2)*[1-sqrt(17)]^n+(1/2)*[1+sqrt(17)]^n, n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
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CROSSREFS
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Adjacent sequences: A133353 A133354 A133355 this_sequence A133357 A133358 A133359
Sequence in context: A069130 A124711 A126372 this_sequence A052495 A052902 A059137
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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), Dec 21 2007
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