A005291 Representation degeneracies for boson strings. (Formerly M0168)

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

Table of n, a(n) for n=1..47.

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

Adjacent sequences: A005288 A005289 A005290 * A005292 A005293 A005294

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Apr 30 2016

Status

approved