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A134006
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a(n) = 1^n + 3^n + 5^n + 7^n.
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3
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4, 16, 84, 496, 3108, 20176, 134004, 903856, 6161988, 42326416, 292299924, 2026332016, 14085959268, 98111307856, 684331371444, 4778093436976, 33385561506948, 233393582580496, 1632228682596564, 11417969833962736
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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) = 15*a(n-1) - 71*a(n-2) + 105*a(n-3) - 48.
G.f.: 1 / (1 - x) + 1 / (1 - 3*x) + 1 / (1 - 5*x) + 1 / (1 - 7*x), E.g.f.: exp(x) + exp(3*x) + exp(5*x) + exp(7*x). - Michael Somos, Jun 29 2017
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EXAMPLE
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a(3)=84 because 1^2+3^2+5^2+7^2=84.
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MATHEMATICA
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Table[1^n+3^n+5^n+7^n, {n, 0, 30}]
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PROG
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(PARI) {a(n) = 1^n + 3^n + 5^n + 7^n}; /* Michael Somos, Jun 29 2017 */
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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