A225928 a(n) = 4*16^n + 8*4^n + 17.

29, 113, 1169, 16913, 264209, 4202513, 67141649, 1073872913, 17180393489, 274880004113, 4398054899729, 70368777732113, 1125900041060369, 18014399046352913, 288230378299195409, 4611686027017322513, 73786976329197944849, 1180591620854850256913

Offset

0,1

Comments

Number of conjugacy classes in Ree group 2F4(2*4^n).

Links

Eric M. Schmidt, Table of n, a(n) for n = 0..500

Frank Luebeck, Numbers of Conjugacy Classes in Finite Groups of Lie Type.

Index entries for linear recurrences with constant coefficients, signature (21,-84,64).

Formula

G.f.: 17/(1-x) + 8/(1-4x) + 4/(1-16x).

a(n) = 21*a(n-1) - 84*a(n-2) + 64*a(n-3) for n > 2. - Wesley Ivan Hurt, Oct 08 2017

Mathematica

LinearRecurrence[{21, -84, 64}, {29, 113, 1169}, 20] (* Harvey P. Dale, May 06 2016 *)

Prog

(Sage) [4*16^n + 8*4^n + 17 for n in [0..20]]
(PARI) a(n)=4*16^n+8*4^n+17 \\ Charles R Greathouse IV, May 22 2013

Crossrefs

Cf. A188161, A224790, A225929 - A225938.

Sequence in context: A201602 A050527 A254413 * A097461 A244635 A042646

Adjacent sequences: A225925 A225926 A225927 * A225929 A225930 A225931

Keyword

nonn,easy

Author

Eric M. Schmidt, May 21 2013

Status

approved