login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Representation degeneracies for boson strings.
(Formerly M0168)
6

%I M0168 #25 Apr 30 2016 17:22:56

%S 1,0,1,0,2,1,4,3,8,7,15,15,28,30,51,58,92,108,163,196,285,348,490,605,

%T 833,1034,1396,1740,2313,2887,3789,4730,6141,7661,9853,12276,15664,

%U 19477,24678,30621,38558,47728,59767,73795,91949,113239,140452

%N Representation degeneracies for boson strings.

%C This gives the number of vector ([1]) irreducible representations in the n-th excited state of an oscillator model of bosons. A005290 counts the scalar ([0]) representations, A005292 the rank-2 tensor representations ([2]). - _R. J. Mathar_, Nov 30 2010

%C a(2)..a(12) coincide with A182712(n-1). - _Omar E. Pol_, Feb 07 2012

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H 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.

%p G3(1); # Using the code in A005290. - _Sean A. Irvine_, Apr 30 2016

%K nonn

%O 1,5

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Apr 30 2016