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A134007
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1^n + 3^n + 5^n + 7^n + 9^n.
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3
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5, 25, 165, 1225, 9669, 79225, 665445, 5686825, 49208709, 429746905, 3779084325, 33407391625, 296515495749, 2639977136185, 23561123826405, 210669225531625, 1886405750358789, 16910575282247065, 151726863979595685
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..300
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FORMULA
| a(n) = 24*a(n-1) - 206*a(n-2) + 744*a(n-3) - 945*a(n-4) + 384
G.f.: -(5-100*x+690*x^2-1900*x^3+1689*x^4)/(-1+x)/(3*x-1)/(9*x-1)/(7*x-1)/(5*x-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
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EXAMPLE
| a(3)=165 because 1^2+3^2+5^2+7^2+9^2=165
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MATHEMATICA
| Table[1^n+3^n+5^n+7^n+9^n, {n, 0, 30}]
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PROG
| (MAGMA) [1^n + 3^n + 5^n + 7^n + 9^n: n in [0..20]]; // Vincenzo Librandi, Jun 20 2011
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CROSSREFS
| Cf. A034472, A074507, A134006.
Sequence in context: A137963 A144887 A181344 * A125794 A109793 A112242
Adjacent sequences: A134004 A134005 A134006 * A134008 A134009 A134010
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KEYWORD
| nonn,easy
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Oct 01 2007
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