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 A120951 Numbers that are not the sum of 5 distinct nonzero squares. 3
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 80, 81, 83, 84, 85, 86, 89, 91, 92, 93, 96, 97, 98, 101, 102, 104, 105, 107, 108, 109, 112, 113, 116, 117, 119, 122, 124, 125, 128, 133, 136, 137, 140, 141, 149, 153, 161, 164, 173, 177, 182, 188, 189, 197, 203, 221, 224, 236, 245 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS There are no other terms below 5000 and this list (of 124 terms) is probably complete. Is this known? Thanks to R. K. Guy for supplying the references. No others n < 10000. - T. D. Noe, Jul 23 2006 Bateman et al. prove that 245 is the last term. - T. D. Noe, Apr 03 2007 REFERENCES E. M. Wright, Quart. J. Math. Oxford Ser. 4 (1933), 37-51. LINKS Franklin T. Adams-Watters, Table of n, a(n) for n = 1..124 Paul T. Bateman, Adolf J. Hildebrand, and George B. Purdy, Sums of distinct squares, Acta Arithmetica 67 (1994), pp. 349-380. MATHEMATICA nn=10000; t=Table[0, {nn}]; lim=Floor[Sqrt[nn]]; sq=Table[i^2, {i, lim}]; Do[n=sq[[i1]]+sq[[i2]]+sq[[i3]]+sq[[i4]]+sq[[i5]]; If[n<=nn, t[[n]]++ ], {i1, lim}, {i2, i1+1, lim}, {i3, i2+1, lim}, {i4, i3+1, lim}, {i5, i4+1, lim}]; Flatten[Position[t, 0]] - T. D. Noe, Jul 23 2006 CROSSREFS Cf. A004438. Sequence in context: A122079 A272118 A247163 * A272554 A179797 A268200 Adjacent sequences:  A120948 A120949 A120950 * A120952 A120953 A120954 KEYWORD fini,nonn,full AUTHOR Franklin T. Adams-Watters, Jul 18 2006 EXTENSIONS Entry revised by N. J. A. Sloane, Jul 23 2006 STATUS approved

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Last modified October 13 18:57 EDT 2019. Contains 327981 sequences. (Running on oeis4.)