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A064583
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a(n) = n^4*(n^4+1)*(n^2-1).
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3
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0, 0, 816, 53136, 986880, 9390000, 58831920, 276825696, 1057222656, 3444262560, 9900990000, 25724822640, 61490347776, 137047559376, 287786357040, 574098840000, 1095233372160, 2009042197056, 3559481173296, 6114129610320, 10214463840000, 16642143690480, 26505160063536
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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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Harry J. Smith, Table of n, a(n) for n=0,...,500
Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).
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FORMULA
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a(0)=0, a(1)=0, a(2)=816, a(3)=53136, a(4)=986880, a(5)=9390000, a(6)=58831920, a(7)=276825696, a(8)=1057222656, a(9)=3444262560, a(10)=9900990000, a(n)= 11*a(n-1)- 55*a(n-2)+ 165*a(n-3)- 330*a(n-4)+ 462*a(n-5)- 462*a(n-6)+ 330*a(n-7)- 165*a(n-8)+ 55*a(n-9)- 11*a(n-10)+ a(n-11). - Harvey P. Dale, Aug 17 2015
G.f.: 48*x^2*(17 + 920*x + 9318*x^2 + 27545*x^3 + 27545*x^4 + 9318*x^5 + 920*x^6 + 17*x^7)/(1-x)^11. - Vincenzo Librandi, Jun 20 2018
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MATHEMATICA
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Table[n^4 (n^4+1)(n^2-1), {n, 0, 30}] (* or *) LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {0, 0, 816, 53136, 986880, 9390000, 58831920, 276825696, 1057222656, 3444262560, 9900990000}, 30] (* Harvey P. Dale, Aug 17 2015 *)
CoefficientList[Series[48 x^2 (17 + 920 x + 9318 x^2 + 27545 x^3 + 27545 x^4 + 9318 x^5 + 920 x^6 + 17 x^7)/(1 - x)^11, {x, 0, 33}], x] (* Vincenzo Librandi, Jun 20 2018 *)
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PROG
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(PARI) { for (n=0, 500, write("b064583.txt", n, " ", n^4*(n^4 + 1)*(n^2 - 1)) ) } \\ Harry J. Smith, Sep 18 2009
(MAGMA) [n^4*(n^4+1)*(n^2-1): n in [0..25]]; // Vincenzo Librandi, Jun 20 2018
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CROSSREFS
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Cf. A064487, A037250.
Sequence in context: A015159 A250803 A251205 * A279441 A221748 A105989
Adjacent sequences: A064580 A064581 A064582 * A064584 A064585 A064586
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Oct 17 2001
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STATUS
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approved
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