cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A267174 Growth series for affine Coxeter group B_11.

This page as a plain text file.
%I A267174 #15 Feb 13 2024 14:47:37
%S A267174 1,12,77,353,1298,4070,11298,28468,66275,144430,297584,584244,1099814,
%T A267174 1995202,3502797,5972044,9917336,16081506,25518845,39702300,60660325,
%U A267174 91149775,134872255,196742469,283218364,402704237,566039474,787087225,1083439094,1477253844,1996250190,2674875984,3555678491,4690903019,6144349905,7993522778
%N A267174 Growth series for affine Coxeter group B_11.
%D A267174 N. Bourbaki, Groupes et Algèbres de Lie, Chap. 4, 5 and 6, Hermann, Paris, 1968. See Chap. VI, Section 4, Problem 10b, page 231, W_a(t).
%H A267174 Ray Chandler, <a href="/A267174/b267174.txt">Table of n, a(n) for n = 0..1000</a>
%H A267174 <a href="/index/Rec#order_85">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 55, -62, 27, 35, -82, 82, -35, -27, 62, -55, 29, -16, 29, -55, 63, -35, -6, 19, 9, -55, 82, -62, 0, 62, -82, 54, 0, -56, 98, -120, 126, -120, 98, -57, 8, 26, -27, -1, 35, -55, 55, -35, 1, 27, -26, -8, 57, -98, 120, -126, 120, -98, 56, 0, -54, 82, -62, 0, 62, -82, 55, -9, -19, 6, 35, -63, 55, -29, 16, -29, 55, -62, 27, 35, -82, 82, -35, -27, 62, -55, 28, -8, 1).
%F A267174 The growth series for the affine Coxeter group of type B_k (k >= 2) has g.f. = Product_i (1-x^{m_i+1})/((1-x)*(1-x^{m_i})) where the m_i are [1,3,5,...,2k-1].
%Y A267174 The growth series for the finite Coxeter (or Weyl) groups B_2 through B_12 are A161696-A161699, A161716, A161717, A161733, A161755, A161776, A161858. These are all rows of A128084. The growth series for the affine Coxeter (or Weyl) groups B_2 through B_12 are A008576, A008137, A267167-A267175.
%K A267174 nonn
%O A267174 0,2
%A A267174 _N. J. A. Sloane_, Jan 11 2016