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Search: id:A019438
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| A019438 |
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Square-free orders of elements of Mathieu group M_23. |
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+0
1
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OFFSET
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0,2
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COMMENT
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Numbers having a unique partition into four nonnegative squares. Let r=2, 6, or 14. Then the numbers r*4^k also have unique partitions into the four nonnegative squares for k>0. See A006431. - T. D. Noe (noe(AT)sspectra.com), Aug 10 2005
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REFERENCES
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D. H. Lehmer, On the partition of numbers into squares, Amer. Math. Monthly, Vol. 55, No. 8 (Oct 1948), 476-481.
G. Nebe and M. Teider, Hecke actions on certain strongly modular genera of lattices. Archiv der Mathematik 84 (1) (2005) 46-56.
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LINKS
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E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.
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CROSSREFS
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Sequence in context: A053813 A116974 A031402 this_sequence A023798 A062084 A098959
Adjacent sequences: A019435 A019436 A019437 this_sequence A019439 A019440 A019441
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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