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 A182608 Number of conjugacy classes in GL(n,17). 18
 1, 16, 288, 4896, 83504, 1419552, 24137280, 410333472, 6975752256, 118587788080, 2015993812032, 34271894799648, 582622235726688, 9904578007265568, 168377826533765184, 2862423051073925184, 48661191875230982480, 827240261878925204256, 14063084452060314850656 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..250 FORMULA G.f.: Product_{k>=1} (1-x^k)/(1-17*x^k). - Alois P. Heinz, Nov 03 2012 MAPLE with (numtheory): b:= proc(n) b(n):= add(phi(d)*17^(n/d), d=divisors(n))/n-1 end: a:= proc(n) a(n):= `if`(n=0, 1,        add (add (d*b(d), d=divisors(j)) *a(n-j), j=1..n)/n)     end: seq (a(n), n=0..30);  # Alois P. Heinz, Nov 03 2012 MATHEMATICA b[n_] := Sum[EulerPhi[d]*17^(n/d), {d, Divisors[n]}]/n-1; a[n_] := a[n] = If[n == 0, 1, Sum[Sum[d*b[d], {d, Divisors[j]}]*a[n-j], {j, 1, n}]/n]; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, Feb 17 2014, after Alois P. Heinz *) PROG (MAGMA) /* The program does not work for n>4: */ [1] cat [NumberOfClasses(GL(n, 17)) : n in [1..4]]; (PARI) N=66; x='x+O('x^N); gf=prod(n=1, N, (1-x^n)/(1-17*x^n)  ); v=Vec(gf) /* Joerg Arndt, Jan 24 2013 */ CROSSREFS Cf. A006951, A006952, A049314, A049315, A049316, A182603, A182604, A182605, A182606, A182607, A182609, A182610, A182611, A182612. Sequence in context: A299939 A218517 A230347 * A320763 A225194 A027776 Adjacent sequences:  A182605 A182606 A182607 * A182609 A182610 A182611 KEYWORD nonn AUTHOR Klaus Brockhaus, Nov 23 2010 EXTENSIONS More terms from Alois P. Heinz, Nov 03 2012 MAGMA code edited by Vincenzo Librandi, Jan 24 2013 STATUS approved

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Last modified January 22 07:31 EST 2022. Contains 350481 sequences. (Running on oeis4.)