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Search: id:A133345
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| A133345 |
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a(n)=2a(n-1)+14a(n-2) for n>1, a(0)=1, a(1)=1 . |
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+0
3
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| 1, 1, 16, 46, 316, 1276, 6976, 31816, 161296, 768016, 3794176, 18340576, 89799616, 436367296, 2129929216, 10369000576, 50557010176, 246280028416, 1200358199296, 5848636796416, 28502288382976, 138885491915776
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OFFSET
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0,3
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COMMENT
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Binomial transform of A001024 (powers of 15), with interpolated zeros .
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FORMULA
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G.f.: (1-x)/(1-2x-14x^2).
a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*15^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 26 2007
a(n)=(1/2)*[1-sqrt(15)]^n+(1/2)*[1+sqrt(15)]^n, n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
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CROSSREFS
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Sequence in context: A099003 A124709 A126370 this_sequence A083307 A045047 A069084
Adjacent sequences: A133342 A133343 A133344 this_sequence A133346 A133347 A133348
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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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