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A030180
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a(n) = (n^7 - n)/42.
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2
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0, 0, 3, 52, 390, 1860, 6665, 19608, 49932, 113880, 238095, 463980, 853138, 1494012, 2509845, 4068080, 6391320, 9769968, 14576667, 21282660, 30476190, 42883060, 59389473, 81067272, 109201700, 145321800, 191233575, 249056028, 321260202, 410711340, 520714285
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OFFSET
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0,3
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LINKS
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FORMULA
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O.g.f.: x^2*(3 + 28*x + 58*x^2 + 28*x^3 + 3*x^4)/(1 - x)^8.
E.g.f.: (1/42)*exp(x)*x^2*(63 + 301*x + 350*x^2 + 140*x^3 + 21*x^4 + x^5).
(End)
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MAPLE
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MATHEMATICA
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LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 0, 3, 52, 390, 1860, 6665, 19608}, 40] (* Harvey P. Dale, May 14 2022 *)
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PROG
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(Magma) [(n^7-n)/42: n in [0..35]]; // G. C. Greubel, Dec 28 2019
(Sage) [(n^7-n)/42 for n in (0..35)] # G. C. Greubel, Dec 28 2019
(GAP) List([0..35], n-> (n^7-n)/42); # G. C. Greubel, Dec 28 2019
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Charlton Harrison (charlton(AT)bach.dynet.com)
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STATUS
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approved
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