

A126581


Freeman Dyson's list of values of k for which there is an identity of a certain type for the kth power of the Dedekind eta function.


5



3, 8, 10, 14, 15, 21, 24, 26, 28, 35, 36, 45, 48, 52, 55, 63, 66, 78, 80, 91, 99, 105, 120, 133, 136, 143, 153, 168, 171, 190, 195, 210, 224, 231, 248, 253, 255, 276, 288, 300, 323, 325, 351, 360, 378, 399, 406, 435, 440, 465, 483, 496, 528, 561, 575, 595, 624, 630
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OFFSET

1,1


COMMENTS

I. G. Macdonald showed that this list is the same as A003038 except for the presence of the number 26.


REFERENCES

Freeman J. Dyson, Missed opportunities, Bull. Amer. Math. Soc. 78 (1972), 635652.
N. Jacobson, Lie Algebras. Wiley, NY, 1962; pp. 141146.
I. G. Macdonald, Some conjectures for root systems, SIAM J. Math. Anal., 13 (1982), 9881007.


LINKS

Table of n, a(n) for n=1..58.
Freeman J. Dyson, Missed opportunities, Bull. Amer. Math. Soc. 78 (1972), 635652.
Wikipedia, Dedekind eta function


CROSSREFS

Cf. A003038.
Sequence in context: A122529 A137920 A263005 * A003038 A184870 A073547
Adjacent sequences: A126578 A126579 A126580 * A126582 A126583 A126584


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Mar 17 2007


EXTENSIONS

Definition clarified by Jonathan Sondow, Mar 24 2013


STATUS

approved



