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Search: id:A155196
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| A155196 |
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a(n)=7*a(n-1)+a(n-2), n>2 ; a(0)=1, a(1)=6, a(2)=42 . |
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+0
1
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| 1, 6, 42, 300, 2142, 15294, 109200, 779694, 5567058, 39749100, 283810758, 2026424406, 14468781600, 103307895606, 737624050842, 5266676251500, 37604357811342, 268497180930894, 1917084624327600, 13688089551224094
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: (1-x-x^2)/(1-7*x-x^2).
a(n)=3*{[(7/2)+(1/2)*sqrt(53)]^(n-1)+[(7/2)-(1/2)*sqrt(53)]^(n-1)}+(21/53)*sqrt(53)*{[(7/2)+(1/2)*sqrt(53)]^(n-1)-[(7/2)-(1/2)*sqrt(53)]^(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: A110711 A156361 A055272 this_sequence A147838 A127628 A111602
Adjacent sequences: A155193 A155194 A155195 this_sequence A155197 A155198 A155199
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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 21 2009
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