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A064589
a(n) = (3^n)^12*((3^n)^2-1)*((3^n)^6-1)*((3^n)^8 + (3^n)^4+1).
4
0, 20560831566912, 516964372056378442547769600, 11956114445971661401099296184508431605312, 273851005776907730108506759943856347388139032312038400, 6265681372313720167898405893509877518011107887382728536431560616512, 143340850075580010296064183230154857254937938924609871657560727417529084492806400
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
Index entries for linear recurrences with constant coefficients, signature (25736391445401, -66236183095353616782869796, 18732747076758674152345943665957730196, -587941958144289222400564550809705171409720916606, 2050026848350902567898708249356851911080446071785222663006, -794102846260470615721632356264899483697800053196772717976302637396, 34136639826434907090990360949297515692189712373144258800154190134988381796, -161258759355025787616506659940345419108521492995841897787826209625992230615816201, 76177348045866392339289727720615561750424801402395196724001565744957137343033038019601).
PROG
(PARI) { for (n=0, 40, p=(3^n)^2; a=p^6*(p - 1)*(p^3 - 1)*(p^4 + p^2 + 1); write("b064589.txt", n, " ", a) ) } \\ Harry J. Smith, Sep 19 2009
(Python)
def A064589(n): return (m:=3**(n<<1))**6*(m*(m*(m*(m*(m*(m*(m*(m-1)+1)-2)+2)-2)+1)-1)+1) # Chai Wah Wu, Aug 20 2024
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 17 2001
STATUS
approved