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A091973 Poincaré series [or Poincare series] (or Molien series) for a certain three-dimensional group of order 1344. 0
1, 0, 1, 3, 3, 4, 7, 8, 9, 12, 14, 17, 20, 22, 26, 30, 32, 36, 42, 45, 49, 55, 59, 64, 70, 75, 81, 88, 93, 99, 107, 113, 120, 128, 135, 143, 151, 158, 167, 177, 184, 193, 204, 212, 221, 232, 242, 252, 263, 273, 284, 296, 306, 318, 331, 342, 354, 367, 379, 392, 406, 418, 432, 447 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004; p. 259.

LINKS

Table of n, a(n) for n=0..63.

Index entries for linear recurrences with constant coefficients, signature (1,-1,2,-1,1,-1,1,-1,1,-2,1,-1,1).

FORMULA

G.f.: (1 + x^2 + 3*x^3 + 2*x^4 + 4*x^5 + 5*x^6 + 4*x^7 + 5*x^8 + 4*x^9 + 2*x^10 + 3*x^11 + x^12 + x^14 ) / ( (1-x^4)*(1-x^6)*(1-x^7)).

G.f.: ( -1-2*x^2-x^5-x^10+x-2*x^4-2*x^6-2*x^8+x^9 ) / ( (1+x+x^2) *(x^6+x^5+x^4+x^3+x^2+x+1) *(1+x^2) *(x-1)^3 ). - R. J. Mathar, Dec 18 2014

MATHEMATICA

LinearRecurrence[{1, -1, 2, -1, 1, -1, 1, -1, 1, -2, 1, -1, 1}, {1, 0, 1, 3, 3, 4, 7, 8, 9, 12, 14, 17, 20}, 64]

(* Ray Chandler, Jul 15 2015 *)

CROSSREFS

Sequence in context: A051263 A058674 A152651 * A050066 A050064 A137894

Adjacent sequences:  A091970 A091971 A091972 * A091974 A091975 A091976

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 18 2004

STATUS

approved

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Last modified April 20 16:17 EDT 2019. Contains 322310 sequences. (Running on oeis4.)