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A005916 Molien series for a certain group of order 52. 1
1, 0, 1, 0, 2, 1, 3, 2, 5, 4, 7, 7, 11, 11, 15, 16, 21, 22, 28, 30, 37, 39, 47, 50, 60, 63, 74, 78, 91, 95, 109, 115, 131, 137, 154, 162, 181, 190, 210, 221, 243, 255, 278, 292, 318, 333, 360, 377, 407, 425, 457, 477, 512, 533, 570, 593, 633, 658, 700, 727 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

The group is a semidirect product C13 : C4 presented by <g, h | g^13=1, h^4=1, hg = g^5 h>. The group has 3 irreducible characters of degree 4, all of which have the same Molien series, this sequence. - Eric M. Schmidt, Feb 02 2013

LINKS

Eric M. Schmidt, Table of n, a(n) for n = 0..1000

Index entries for Molien series

Index entries for linear recurrences with constant coefficients, signature (1,1,-1,1,-1,-1,1,0,0,0,0,0,1,-1,-1,1,-1,1,1,-1).

FORMULA

G.f.: (x^14-x^13+x^11+x^5-x+1)/((1-x^13)*(1-x^4)*(1-x^2)*(1-x)). [Colin Barker, Jan 31 2013, confirmed and simplified Eric M. Schmidt, Feb 02 2013]

a(n) ~ 1/312*n^3. - Ralf Stephan, Apr 29 2014

PROG

(GAP) series:=MolienSeries(First(Irr(SmallGroup(52, 3)), irr->Degree(irr)=4));; List([0..30], i->ValueMolienSeries(series, i)); # Eric M. Schmidt, Feb 02 2013

CROSSREFS

Sequence in context: A238782 A058736 A097451 * A034392 A181531 A034393

Adjacent sequences:  A005913 A005914 A005915 * A005917 A005918 A005919

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Eric M. Schmidt, Feb 02 2013

STATUS

approved

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Last modified October 18 07:00 EDT 2018. Contains 316307 sequences. (Running on oeis4.)