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A005310 Fermionic string states.
(Formerly M0359)
0

%I M0359 #30 Aug 02 2023 11:44:55

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

%N Fermionic string states.

%C See the reference for precise definition.

%C 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.

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

%H T. Curtright, <a href="http://inspirehep.net/record/234762/files/CountingStringStates.pdf">Counting symmetry patterns in the spectra of strings</a>, 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.

%H Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

%H Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992

%K nonn

%O 0,1

%A _N. J. A. Sloane_

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Last modified May 14 10:23 EDT 2024. Contains 372532 sequences. (Running on oeis4.)