1,1

Note that all triangular numbers A000217(i) have squares [A000217(i)]^2=A000537(i) which are sums of consecutive cubes starting with 1. But such decpositions do not count here. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 02 2007

n^2=sum[i^3, (i=i1...i2)]; {n, i1=initial index of cube, i2=final index of cube}: {8, 4, 4}, {27, 9, 9}, {64, 16, 16}, {125, 25, 25}, {204, 23, 25}, {216, 36, 36}, {312, 14, 25}, {315, 25, 29}, {323, 9, 25}, {343, 49, 49}, {504, 28, 35}, {512, 64, 64}, {588, 14, 34}, {720, 25, 39}, {729, 81, 81}, {1000, 100, 100}, {1331, 121, 121}, {1728, 144, 144}, {2079, 33, 65}, {2170, 96, 100}, {2197, 169, 169}, {2744, 196, 196}, {2940, 118, 122}, {4472, 69, 100}, {4914, 81, 108}, {5187, 64, 105}, {5880, 64, 111}, {5984, 120, 136}, {6630, 144, 156}, {7497, 25, 122}, {8721, 153, 170}, {8778, 144, 164}, {9360, 111, 149}, {10296, 133, 164}, {10695, 81, 149}, {11024, 21, 148}, {13104, 105, 168}, {14160, 118, 177}, {16380, 78, 182}, {18333, 97, 194}

204^2=23^3+24^3+25^3, 312^2=14^3+15^3+...24^3+25^3;

Cf. A126203.

Sequence in context: A062686 A093322 A017670 this_sequence A076989 A055012 A069939

Adjacent sequences: A126197 A126198 A126199 this_sequence A126201 A126202 A126203

nonn

Zak Seidov (zakseidov(AT)gmail.com), Mar 11 2007

Better definition from Dean Hickerson, Dec 02 2007