A005310 Fermionic string states. (Formerly M0359)

2, 2, 6, 14, 30, 62, 126, 246, 472

Offset

0,1

Comments

See the reference for precise definition.

The g.f. 2*(1-2*z+2*z^2)/(-1+2*z)/(z-1) conjectured by Simon Plouffe in his 1992 dissertation is unlikely to be correct.

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=0..8.

T. Curtright, Counting symmetry patterns in the spectra of strings, in H. J. de Vega and N. Sánchez, editors, String Theory, Quantum Cosmology and Quantum Gravity. Integrable and Conformal Invariant Theories. World Scientific, Singapore, 1987, pp. 304-333. See Table 3 p. 21 of pdf.

Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992

Crossrefs

Sequence in context: A266007 A051890 A071109 * A248096 A002203 A300863

Adjacent sequences: A005307 A005308 A005309 * A005311 A005312 A005313

Keyword

nonn

Author

N. J. A. Sloane

Status

approved