A064588 a(n) = (2^n)^12*((2^n)^2-1)*((2^n)^6-1)*((2^n)^8 + (2^n)^4+1).

0, 211341312, 67802350642790400, 19045158721552047314829312, 5172093060532095860985478879641600, 1392436772074860374668712252110467615424512, 374053097594236786223942368917529841587940071833600, 100427498158122178683906767552010902133066063134008553766912, 26959535297288219669523507545964171915704566051174598345329370726400

Offset

0,2

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

Harry J. Smith, Table of n, a(n) for n = 0..50

Index entries for linear recurrences with constant coefficients, signature (357912576, -25619989209808896, 436628173228375692804096, -1838084202651691394631840301056, 1927370980879699955817476575520096256, -503398010432197925784784284250454618013696, 32477194699655007703444278420761908023599824896, -498857322545357921467016345185865338049043131006976, 1532495540865888858358347027150309183618739122183602176).

Prog

(PARI) { for (n=0, 50, p=(2^n)^2; a=p^6*(p - 1)*(p^3 - 1)*(p^4 + p^2 + 1); write("b064588.txt", n, " ", a) ) } \\ Harry J. Smith, Sep 19 2009
(Python)
def A064588(n): return (m:=1<<(n<<1))*(m*(m*(m*(m*(m*(m*(m-1)+1)-2)+2)-2)+1)-1)+1<<12*n # Chai Wah Wu, Aug 20 2024

Crossrefs

Cf. A037253, A064587, A064589.

Sequence in context: A288079 A037253 A359129 * A202572 A198169 A358343

Adjacent sequences: A064585 A064586 A064587 * A064589 A064590 A064591

Keyword

nonn,easy

Author

N. J. A. Sloane, Oct 17 2001

Status

approved