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Squarefree orders of elements of Mathieu group M_23.
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%I #17 Mar 05 2017 17:00:39

%S 1,2,3,5,6,7,11,14,15,23

%N Squarefree orders of elements of Mathieu group M_23.

%C 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_, Aug 10 2005

%H D. H. Lehmer, <a href="http://www.jstor.org/stable/2305380">On the Partition of Numbers into Squares</a>, The American Mathematical Monthly, Vol. 55, No.8, October 1948, pp. 476-481.

%H G. Nebe and M. Teider, <a href="https://dx.doi.org/10.1007/s00013-004-1288-4">Hecke actions on certain strongly modular genera of lattices</a>, Archiv der Mathematik 84 (1) (2005) 46-56.

%H E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/shad.html">The Shadow Theory of Modular and Unimodular Lattices</a>, J. Number Theory, 73 (1998), 359-389.

%K nonn,fini,full

%O 0,2

%A _N. J. A. Sloane_.