cp's OEIS Frontend

A005290 Representation degeneracies for boson strings.

%I A005290 M0026 #25 Jul 08 2025 16:28:25
%S A005290 1,-1,0,0,1,0,2,0,3,1,5,2,10,5,16,13,28,24,50,46,84,87,141,153,241,
%T A005290 266,396,459,653,766,1070,1267,1725,2075,2762,3342,4397,5330,6918,
%U A005290 8432,10814,13188,16784,20468,25836,31529,39505,48169,60033,73092,90597,110203,135920,165058,202754,245774,300707
%N A005290 Representation degeneracies for boson strings.
%D A005290 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A005290 T. L. Curtright and C. B. Thorn, <a href="http://dx.doi.org/10.1016/0550-3213(86)90525-0">Symmetry patterns in the mass spectra of dual string models</a>, Nuclear Phys. B 274 (1986), 520-588. See Tables 6a and 6b.
%H A005290 T. L. Curtright and Charles B. Thorn, <a href="http://dx.doi.org/10.1016/0370-2693(86)90329-1">Spin content of the bosonic string</a>, Physics Letters B 175.1 (1986): 47-52.
%F A005290 There is a g.f. due to J. Goldstone given in Eq. (5) of Curtright and Thorn (1986), and programmed in Maple below. - _N. J. A. Sloane_, Jul 11 2015
%p A005290 M:=101:
%p A005290 p:=mul((1-x^n)^(-1),n=1..M):
%p A005290 G1:=J-> p^2*add( x^(n*J+n*(n-1)/2)*(-1)^(n-1)*(1-x^n)^2, n=1..M):
%p A005290 G2:=J->series(G1(J),x,M);
%p A005290 G3:=J->seriestolist(G2(J));
%p A005290 G3(0); # _N. J. A. Sloane_, Jul 11 2015
%K A005290 sign,easy
%O A005290 0,7
%A A005290 _N. J. A. Sloane_