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A016792
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a(n) = (3*n+2)^4.
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9
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16, 625, 4096, 14641, 38416, 83521, 160000, 279841, 456976, 707281, 1048576, 1500625, 2085136, 2825761, 3748096, 4879681, 6250000, 7890481, 9834496, 12117361, 14776336, 17850625, 21381376, 25411681, 29986576, 35153041, 40960000, 47458321, 54700816, 62742241, 71639296
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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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G.f.: (16 + 545*x + 1131*x^2 + 251*x^3 + x^4)/(1 - x)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)
Sum_{n>=0} 1/a(n) = PolyGamma(3, 2/3)/486. (End)
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {16, 625, 4096, 14641, 38416}, 30] (* Harvey P. Dale, Aug 02 2018 *)
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PROG
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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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