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A019438 Squarefree orders of elements of Mathieu group M_23. 0
1, 2, 3, 5, 6, 7, 11, 14, 15, 23 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

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

REFERENCES

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.

LINKS

E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.

CROSSREFS

Sequence in context: A053813 A116974 A031402 * A023798 A062084 A098959

Adjacent sequences:  A019435 A019436 A019437 * A019439 A019440 A019441

KEYWORD

nonn,fini,full

AUTHOR

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

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Last modified February 15 18:22 EST 2012. Contains 205835 sequences.