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Search: id:A099100
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| 1, 8, 89, 987, 10946, 121393, 1346269, 14930352, 165580141, 1836311903, 20365011074, 225851433717, 2504730781961, 27777890035288, 308061521170129, 3416454622906707, 37889062373143906, 420196140727489673
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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G.f.: (1-3x)/(1-11x-x^2); a(n)=11a(n-1)+a(n-2); a(n)=sum{k=0..5n, binomial(k, 5n-k)}.
a(n)=-(1/10)*[(11/2)-(5/2)*sqrt(5)]^n*sqrt(5)+(1/2)*[(11/2)-(5/2)*sqrt(5)]^n+(1/10)*sqrt(5)*[(11/2)+(5 /2)*sqrt(5)]^n+(1/2)*[(11/2)+(5/2)*sqrt(5)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 19 2008]
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CROSSREFS
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Cf. A000045.
Sequence in context: A068498 A061000 A072352 this_sequence A131655 A105718 A045732
Adjacent sequences: A099097 A099098 A099099 this_sequence A099101 A099102 A099103
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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), Sep 29 2004
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EXTENSIONS
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Corrected second formula. - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 16 2008
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