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A089599 G.f.: (1+x^5+x^7+x^8+x^10+x^15)/((1-x^2)(1-x^3)(1-x^4)(1-x^6)^2(1-x^9)). 5
1, 0, 1, 1, 2, 2, 5, 4, 8, 9, 13, 15, 23, 24, 35, 40, 52, 60, 79, 87, 112, 127, 155, 177, 216, 240, 290, 326, 382, 430, 503, 557, 648, 720, 822, 914, 1041, 1144, 1298, 1428, 1600, 1760, 1967, 2146, 2392, 2609, 2882, 3142, 3463, 3752, 4127, 4468, 4882, 5282, 5760, 6202 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Poincaré series [or Poincare series] (or Molien series) for (P[x_0, x_1] ⊗ P[x_0, x_1] ⊗ P[x_0, x_1] )^(S_3).

REFERENCES

A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004; p. 200.

LINKS

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1, 1, 0, 0, -2, 1, -1, 0, 2, -2, 1, 0, 0, 1, -2, 2, 0, -1, 1, -2, 0, 0, 1, 1, -1).

FORMULA

G.f.: (1-x+x^5-x^9+x^10)/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^6)*(1-x^9)*(1+x+x^2)). See also the NAME. - Wolfdieter Lang, Mar 19 2014

PROG

(PARI) Vec((1+x^5+x^7+x^8+x^10+x^15)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^6)^2*(1-x^9)) + O(x^100)) \\ Michel Marcus, Mar 19 2014

CROSSREFS

Cf. A082146, A091434, A091726, A091769.

Sequence in context: A101085 A088880 A008818 * A206556 A127683 A127686

Adjacent sequences: A089596 A089597 A089598 * A089600 A089601 A089602

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 31 2003

STATUS

approved

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Last modified December 1 00:42 EST 2022. Contains 358453 sequences. (Running on oeis4.)