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A124636 Poincaré series [or Poincare series] P(C_{3,2}(0); t). 1

%I #18 Mar 14 2024 15:17:06

%S 1,0,3,4,7,12,24,28,55,76,111,160,238,304,447,588,784,1036,1379,1728,

%T 2278,2864,3611,4524,5673,6908,8594,10436,12669,15308,18479,21944,

%U 26319,31128,36770,43280,50868,59184,69194,80184,92784,107064,123354,141168,161940,184656,210258,238872,270993

%N Poincaré series [or Poincare series] P(C_{3,2}(0); t).

%H Dragomir Z. Djokovic, <a href="http://arXiv.org/abs/math.AC/0609262">Poincaré series [or Poincare series] of some pure and mixed trace algebras of two generic matrices</a>. See Table 9.

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0,4,4,-6,-16,-2,24,23,-12,-36,-12,23,24,-2,-16,-6,4,4,0,-1).

%F G.f.: (1 - x^2 + x^4)/((1 - x^2)^4*(1 - x^3)^4). - _Robin Visser_, Mar 13 2024

%o (Sage)

%o def a(n):

%o if n==0: return 1

%o f = (1-x^2+x^4)/((1-x^2)^4*(1-x^3)^4)

%o return f.taylor(x, 0, n).coefficient(x^n) # _Robin Visser_, Mar 13 2024

%Y Cf. A123991.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, Dec 21 2006

%E More terms from _Robin Visser_, Mar 13 2024

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)