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Search: id:A155458
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| A155458 |
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a(n)=6*a(n-1)+25*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=6 . |
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+0
1
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| 1, 1, 6, 61, 516, 4621, 40626, 359281, 3171336, 28010041, 247343646, 2184312901, 19289468556, 170344633861, 1504304517066, 13284442948921, 117314270620176, 1035996697444081, 9148836950168886, 80792939137115341, 713478558576914196
(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.: (1-5*x-25*x^2)/(1-6*x-25*x^2)
a(n)=(1/2)*{[3+sqrt(34)]^n+[3-sqrt(34)]^n}+(3/68)*sqrt(34)*{[3+sqrt(34)]^n-[3-sqrt(34)]^n}+[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: A068171 A069633 A069618 this_sequence A152281 A053462 A160751
Adjacent sequences: A155455 A155456 A155457 this_sequence A155459 A155460 A155461
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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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