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Search: id:A072264
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| A072264 |
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a(n) = 3 a(n-1) + 5 a(n-2). |
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+0
2
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| 1, 1, 8, 29, 127, 526, 2213, 9269, 38872, 162961, 683243, 2864534, 12009817
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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G.f.: x*(1-2*x)/(1-3*x-5*x^2) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Mar 06 2009]
a(n)=(1/2)*{[(3/2)+(1/2)*sqrt(29)]^(n-1)+[(3/2)-(1/2)*sqrt(29)]^(n-1)+(1/58)*sqrt(29)*{[(3/2)-(1/2)*sqrt(29)]^(n-1)-[(3/2)+(1/2)*sqrt(29)]^(n-1)}, with n>=1 [From Paolo P. Lava (ppl(AT)spl.at), Mar 31 2009]
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EXAMPLE
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a(5)=3*a(4)+5*a(3) : 127=3*29+5*8=87+40
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CROSSREFS
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Cf. A015523.
Sequence in context: A001360 A116952 A088131 this_sequence A110527 A105421 A071931
Adjacent sequences: A072261 A072262 A072263 this_sequence A072265 A072266 A072267
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KEYWORD
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easy,nonn
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AUTHOR
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M. Kristof (kristmikl(AT)freemail.hu), Jul 08 2002
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