A005291 Representation degeneracies for boson strings.

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

Author

N. J. A. Sloane

Keywords

• nonn

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.

Programs

Maple

G3(1); # Using the code in A005290. - Sean A. Irvine, Apr 30 2016

Extensions

More terms from Sean A. Irvine, Apr 30 2016