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A017023
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a(n) = (7*n + 3)^7.
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3
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2187, 10000000, 410338673, 4586471424, 27512614111, 114415582592, 373669453125, 1028071702528, 2488651484819, 5455160701056, 11047398519097, 20971520000000, 37725479487783, 64847759419264
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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.: (2187 + 9982504*x + 330399909*x^2 + 1583639568*x^3 + 1750478653*x^4 + 456781416*x^5 + 19356099*x^6 + 16384*x^7)/(1-x)^8.
E.g.f.: (2187 + 9997813*x + 195170430*x^2 + 564242203*x^3 + 482865110*x^4 + 155531978*x^5 + 19765032*x^6 + 823543*x^7)*exp(x). (End)
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MATHEMATICA
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(7*Range[0, 30]+3)^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {2187, 10000000, 410338673, 4586471424, 27512614111, 114415582592, 373669453125, 1028071702528}, 30] (* Harvey P. Dale, Jul 07 2020 *)
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PROG
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(SageMath) [(7*n+3)^7 for n in range(41)] # G. C. Greubel, Oct 17 2023
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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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