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A037250
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a(n) = n^2*(n^2 + 1)*(n-1).
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3
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0, 0, 20, 180, 816, 2600, 6660, 14700, 29120, 53136, 90900, 147620, 229680, 344760, 501956, 711900, 986880, 1340960, 1790100, 2352276, 3047600, 3898440, 4929540, 6168140, 7644096, 9390000, 11441300
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OFFSET
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0,3
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COMMENTS
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Conjecture: satisfies a linear recurrence having signature (6, -15, 20, -15, 6, -1). - Harvey P. Dale, Jul 27 2019
This conjecture is true since for any series a(n) = P(n) (P polynomial in n of degree d) there is an o.g.f. Q(x)/(1-x)^(d+1). - Georg Fischer, Feb 17 2021
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REFERENCES
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R. W. Carter, Simple Groups of Lie Type, Wiley 1972, Chap. 14.
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985, p. xvi.
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LINKS
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MAPLE
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seq(coeff(series(4*x^2*(x^3+9*x^2+15*x+5)/(x-1)^6, x, n+1), x, n), n = 0..30); # Georg Fischer, Feb 17 2021
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MATHEMATICA
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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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