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Search: id:A133343
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| A133343 |
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a(n)=2a(n-1)+13a(n-2) for n>1, a(0)=1, a(1)=1 . |
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+0
3
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| 1, 1, 15, 43, 281, 1121, 5895, 26363, 129361, 601441, 2884575, 13587883, 64675241, 305992961, 1452764055, 6883436603, 32652805921, 154790287681, 734067052335, 3480407844523, 16503687369401, 78252676717601
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OFFSET
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0,3
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COMMENT
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Binomial transform of A001023 (powers of 14), with interpolated zeros .
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FORMULA
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G.f.: (1-x)/(1-2x-13x^2).
a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*14^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 26 2007
a(n)=(1/2)*[1-sqrt(14)]^n+(1/2)*[1+sqrt(14)]^n, n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
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CROSSREFS
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Adjacent sequences: A133340 A133341 A133342 this_sequence A133344 A133345 A133346
Sequence in context: A137183 A124708 A126369 this_sequence A027845 A029827 A119123
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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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