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A064583 a(n) = n^4*(n^4+1)*(n^2-1). 3
0, 0, 816, 53136, 986880, 9390000, 58831920, 276825696, 1057222656, 3444262560, 9900990000, 25724822640, 61490347776, 137047559376, 287786357040, 574098840000, 1095233372160, 2009042197056, 3559481173296, 6114129610320, 10214463840000, 16642143690480, 26505160063536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

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.

LINKS

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).

FORMULA

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

MATHEMATICA

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 *)

PROG

(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

CROSSREFS

Cf. A064487, A037250.

Sequence in context: A015159 A250803 A251205 * A279441 A221748 A105989

Adjacent sequences:  A064580 A064581 A064582 * A064584 A064585 A064586

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 17 2001

STATUS

approved

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Last modified March 4 23:52 EST 2021. Contains 341812 sequences. (Running on oeis4.)