OFFSET
1,1
COMMENTS
This is the complete list (Sprague).
REFERENCES
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.
Harry L. Nelson, The Partition Problem, J. Rec. Math., 20 (1988), 315-316.
J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 222.
LINKS
R. E. Dressler and T. Parker, 12,758, Math. Comp. 28 (1974), 313-314.
T. Sillke, Not the sum of distinct squares
R. Sprague, Über Zerlegungen in ungleiche Quadratzahlen, Math. Z. 51, (1948), 289-290.
Eric Weisstein's World of Mathematics, Square Number.
MATHEMATICA
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, Jul 24 2006 *)
PROG
(PARI) select( is_A001422(n, m=n)={m^2>n&& m=sqrtint(n); n!=m^2&&!while(m>1, isSumOfSquares(n-m^2, m--)&&return)}, [1..128]) \\ M. F. Hasler, Apr 21 2020
CROSSREFS
KEYWORD
nonn,fini,full,changed
AUTHOR
N. J. A. Sloane, Jeff Adams (jeff.adams(AT)byu.net)
STATUS
approved