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Search: id:A155455
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| A155455 |
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a(n)=5*a(n-1)+16*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=5 . |
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1
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| 1, 1, 5, 41, 285, 2081, 14965, 108121, 780045, 5630161, 40631525, 293240201, 2116305405, 15273370241, 110227737685, 795512612281, 5741206864365, 41434236118321, 299030490421445, 2158100230000361, 15574988996744925
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: (1-4*x-16*x^2)/(1-5*x-16*x^2)
a(n)=(5/178)*sqrt(89)*{[(5/2)+(1/2)*sqrt(89)]^(n-1)-[(5/2)-(1/2)*sqrt(89)]^(n-1)}+(1/2)*{[(5/2)+(1/2)*sqrt(89)]^(n-1)+[(5/2)-(1/2)*sqrt(89)]^(n-1)}+[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 26 2009]
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CROSSREFS
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Sequence in context: A096946 A027954 A083300 this_sequence A067381 A155612 A145215
Adjacent sequences: A155452 A155453 A155454 this_sequence A155456 A155457 A155458
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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), Jan 22 2009
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