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A005291
Representation degeneracies for boson strings.
(Formerly M0168)
6
1, 0, 1, 0, 2, 1, 4, 3, 8, 7, 15, 15, 28, 30, 51, 58, 92, 108, 163, 196, 285, 348, 490, 605, 833, 1034, 1396, 1740, 2313, 2887, 3789, 4730, 6141, 7661, 9853, 12276, 15664, 19477, 24678, 30621, 38558, 47728, 59767, 73795, 91949, 113239, 140452
OFFSET
1,5
COMMENTS
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
a(2)..a(12) coincide with A182712(n-1). - Omar E. Pol, Feb 07 2012
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
T. L. Curtright and C. B. Thorn, Symmetry patterns in the mass spectra of dual string models, Nuclear Phys. B 274 (1986), 520-588.
MAPLE
G3(1); # Using the code in A005290. - Sean A. Irvine, Apr 30 2016
CROSSREFS
Sequence in context: A087787 A182712 A100818 * A106624 A028297 A207537
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, Apr 30 2016
STATUS
approved