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A005309 Fermionic string states.
(Formerly M1125)
+0
1
1, 0, 2, 4, 8, 16, 32, 60, 114, 212 (list; graph; listen)
OFFSET

0,3

COMMENT

See the reference for precise definition.

The g.f. -(1-2*z+2*z**2)/(-1+2*z) conjectured by S. 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).

T. Curtright, ``Counting symmetry patterns in the spectra of strings,'' in H. J. de Vega and N. S\'{a}nchez, editors, String Theory, Quantum Cosmology and Quantum Gravity. Integrable and Conformal Invariant Theories. World Scientific, Singapore, 1987, pp. 304-333.

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

CROSSREFS

Sequence in context: A115909 A056644 A007813 this_sequence A078389 A059173 A027560

Adjacent sequences: A005306 A005307 A005308 this_sequence A005310 A005311 A005312

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 24 23:11 EST 2009. Contains 167435 sequences.


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