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Search: id:A134008
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| A134008 |
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1^n + 3^n + 5^n + 7^n + 9^n + 11^n. |
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+0
1
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| 6, 36, 286, 2556, 24310, 240276, 2437006, 25173996, 263567590, 2787694596, 29716508926, 318719062236, 3434943872470, 37162689280116, 403310957409646, 4387917394947276, 47836135613930950, 522357603781540836
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n) = 35 a(n-1) - 470 a(n-2) + 3010 a(n-3) - 9129 a(n-4) + 10395 a(n-5) - 3840
G.f.: -2*(6*x-1)*(1627*x^4-1752*x^3+578*x^2-72*x+3)/(-1+x)/(9*x-1)/(7*x-1)/(3*x-1)/(5*x-1)/(11*x-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
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EXAMPLE
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a(3)=286 because 1^2+3^2+5^2+7^2+9^2+11^2=286
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MATHEMATICA
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Table[1^n+3^n+5^n+7^n+9^n+11^n, {n, 0, 30}]
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CROSSREFS
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Cf. A034472, A074507, A134006, A134007.
Sequence in context: A129063 A090015 A144892 this_sequence A125795 A138418 A064239
Adjacent sequences: A134005 A134006 A134007 this_sequence A134009 A134010 A134011
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 01 2007
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