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Search: id:A090042
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| A090042 |
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a(n)=2a(n-1)+11a(n-2), a(0)=1, a(1)=1. |
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+0
3
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| 1, 1, 13, 37, 217, 841, 4069, 17389, 79537, 350353, 1575613, 7005109, 31341961, 139740121, 624241813, 2785624957, 12437909857, 55517694241, 247852396909, 1106399430469, 4939175226937, 22048744189033, 98428415874373
(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 A001021 (powers of 12), with interpolated zeros.
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FORMULA
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E.g.f.: exp(x)cosh(2sqrt(3)x); a(n)=(1+2sqrt(3))^n/2 + (1-2sqrt(3))^n/2.
a(n)=Sum_{k, 0<=k<=n}A098158(n,k)*12^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 26 2007
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CROSSREFS
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Sequence in context: A155282 A155236 A155277 this_sequence A078952 A130621 A098265
Adjacent sequences: A090039 A090040 A090041 this_sequence A090043 A090044 A090045
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 20 2003
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