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A134007
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a(n) = 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
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OFFSET
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0,1
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LINKS
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FORMULA
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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, Nov 14 2007
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EXAMPLE
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a(3)=165 because 1^2 + 3^2 + 5^2 + 7^2 + 9^2 = 165.
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MATHEMATICA
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Table[1^n+3^n+5^n+7^n+9^n, {n, 0, 30}]
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PROG
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(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
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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