| D. H. Lehmer. The Tarry-Escott problem. Scripta Math., 13:37--41, 1947. |
....both Thue [99] and Morse [75] examined its properties near the beginning of this century. But Prouhet implicitly used the definition of t in an 1851 paper ( 82] also see [104] that gave a solution to the multigrade problem. 6 JEFFREY SHALLIT The multigrade problem (or Tarry Escott problem; see [62]) is to find disjoint sets U; V that P u2U u i = P v2V v i for i = 0; 1; k Gamma 1. Prouhet observed that one could take U = f0 n 2 k : t n = 0g and V = f0 n 2 k : t n = 1g. For example, we have 0 i 3 i 5 i 6 i = 1 i 2 i 4 i 7 i for i = 0; 1; ....
D. H. Lehmer. The Tarry-Escott problem. Scripta Math. 13 (1947), 37--41.
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D. H. Lehmer. The Tarry-Escott problem. Scripta Math., 13:37--41, 1947.
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