A037253 a(n) = n^12*(n^8+n^4+1)*(n^6-1)*(n^2-1).

0, 0, 211341312, 20560831566912, 67802350642790400, 35817806390625000000, 5974842736157763686400, 450782974156649555296512, 19045158721552047314829312, 516964372056378442547769600, 9900980198009901000000000000

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (29, -406, 3654, -23751, 118755, -475020, 1560780, -4292145, 10015005, -20030010, 34597290, -51895935, 67863915, -77558760, 77558760, -67863915, 51895935, -34597290, 20030010, -10015005, 4292145, -1560780, 475020, -118755, 23751, -3654, 406, -29, 1).

Mathematica

Table[n^12(n^8+n^4+1)(n^6-1)(n^2-1), {n, 0, 20}] (* Harvey P. Dale, Sep 15 2011 *)

Prog

(Magma) [n^12*(n^8+n^4+1)*(n^6-1)*(n^2-1) :n in [0..15]]; // Sep 15 2011
(Python)
def A037253(n): return (m:=n**2)**6*(m*(m*(m*(m*(m*(m*(m*(m-1)+1)-2)+2)-2)+1)-1)+1) # Chai Wah Wu, Aug 20 2024

Crossrefs

Cf. A064587, A064588, A064589.

Sequence in context: A233614 A105294 A288079 * A359129 A064588 A202572

Adjacent sequences: A037250 A037251 A037252 * A037254 A037255 A037256

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved