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A037251
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a(n) = n^3*(n^3 + 1)*(n-1).
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3
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0, 0, 72, 1512, 12480, 63000, 234360, 707952, 1838592, 4257360, 9009000, 17728920, 32864832, 57948072, 97919640, 159516000, 251719680, 386279712, 578306952, 846949320, 1216152000, 1715507640
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OFFSET
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0,3
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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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FORMULA
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a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8); a(0)=0, a(1)=0, a(2)=72, a(3)=1512, a(4)=12480, a(5)=63000, a(6)=234360, a(7)=707952. - Harvey P. Dale, Nov 23 2012
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MATHEMATICA
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n3[n_]:=Module[{c=n^3}, c(c+1)(n-1)]; Array[n3, 30, 0] (* or *) LinearRecurrence[ {8, -28, 56, -70, 56, -28, 8, -1}, {0, 0, 72, 1512, 12480, 63000, 234360, 707952}, 30] (* Harvey P. Dale, Nov 23 2012 *)
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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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