Search: id:A001422
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%I A001422
%S A001422 2,3,6,7,8,11,12,15,18,19,22,23,24,27,28,31,32,33,43,44,47,48,
%T A001422 60,67,72,76,92,96,108,112,128
%N A001422 Numbers which are not the sum of distinct squares. This is the complete 
               list (Sprague).
%D A001422 R. E. Dressler and T. Parker, "12,758", Math. Comp., 28 (1974), 313-314.
%D A001422 S. Lin, Computer experiments on sequences which form integral bases, 
               pp. 365-370 of J. Leech, editor, Computational Problems in Abstract 
               Algebra. Pergamon, Oxford, 1970.
%D A001422 Harry L. Nelson, The Partition Problem, J. Rec. Math., 20 (1988), 315-316.
%D A001422 J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 222.
%D A001422 R. Sprague, Ueber Zerlegungen in ungleiche Quadratzahlen, Math. Z. 51, 
               (1948), 289-290.
%H A001422 T. Sillke, <a href="http://www.mathematik.uni-bielefeld.de/~sillke/SEQUENCES/
               series010">Not the sum of distinct squares</a>
%H A001422 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SquareNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A001422 <a href="Sindx_Su.html#ssq">Index entries for sequences related to sums 
               of squares</a>
%t A001422 nn=50; t=Rest[CoefficientList[Series[Product[(1+x^(k*k)), {k,nn}], {x,
               0,nn*nn}], x]]; Flatten[Position[t,0]] - T. D. Noe (noe(AT)sspectra.com), 
               Jul 24 2006
%Y A001422 Complement of A003995.
%Y A001422 Cf. A033461.
%Y A001422 Sequence in context: A004435 A008321 A064472 this_sequence A097757 A155152 
               A098740
%Y A001422 Adjacent sequences: A001419 A001420 A001421 this_sequence A001423 A001424 
               A001425
%K A001422 nonn,fini,full
%O A001422 1,1
%A A001422 N. J. A. Sloane (njas(AT)research.att.com), Jeff Adams (jeff.adams(AT)byu.net)

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