Search: id:A000379 Results 1-1 of 1 results found. %I A000379 M4065 N1685 %S A000379 1,6,8,10,12,14,15,18,20,21,22,26,27,28,32,33,34,35,36,38,39,44,45,46, 48, %T A000379 50,51,52,55,57,58,62,63,64,65,68,69,74,75,76,77,80,82,85,86,87,91,92, 93, %U A000379 94,95,98,99,100,106,111,112,115,116,117,118,119,120,122,123,124,125,129 %N A000379 A 2-way classification of integers: complement of A000028. %C A000379 This sequence and A000028 (its complement) give the unique solution to the problem of splitting the positive integers into two classes in such a way that products of pairs of distinct elements from either class occur with the same multiplicities [Lambek and Moser]. Cf. A000069, A001969. %C A000379 See A000028 for precise definition, Maple program, etc. %D A000379 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A000379 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A000379 J. Lambek and L. Moser, On some two way classifications of integers, Canad. Math. Bull. 2 (1959), 85-89. %D A000379 J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 22. %H A000379 N. J. A. Sloane, Table of n, a(n) for n=1..10000 %Y A000379 Cf. A133008, A000028 (complement), A000201, A001950. Different from A123240 (e.g. does not contain 180). %Y A000379 Sequence in context: A123240 A131181 A064176 this_sequence A065985 A060652 A020739 %Y A000379 Adjacent sequences: A000376 A000377 A000378 this_sequence A000380 A000381 A000382 %K A000379 nonn,easy,nice %O A000379 1,2 %A A000379 N. J. A. Sloane (njas(AT)research.att.com). %E A000379 Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 20 2007, to restore the original definition. Search completed in 0.002 seconds