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Search: id:A133294
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| A133294 |
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a(n)=2a(n-1)+10a(n-2), a(0)=1, a(1)=1 . |
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+0
3
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| 1, 1, 12, 34, 188, 716, 3312, 13784, 60688, 259216, 1125312, 4842784, 20938688, 90305216, 389997312, 1683046784, 7266066688, 31362601216, 135385869312, 584397750784, 2522654194688, 10889285897216, 47005113741312
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OFFSET
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0,3
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COMMENT
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Binomial transform of [1, 0, 11, 0, 121, 0, 1331, 0, 14641, 0, ...]=: powers of 11 (A001020) with interpolated zeros . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 02 2008]
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*11^(n-k) . G.f.:(1-x)/(1-2x-10x^2) . a(n)=A083101(n-1) for n>0 .
a(n)=(1/2)*[1+sqrt(11)]^n+(1/2)*[1-sqrt(11)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
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CROSSREFS
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Sequence in context: A078194 A034510 A083101 this_sequence A082240 A088596 A077293
Adjacent sequences: A133291 A133292 A133293 this_sequence A133295 A133296 A133297
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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 20 2007
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