Additive Squares

Word of length 927 over {0, 1, 2, 3, 4, 5, 6}

by David Renshaw, 2026-08-27 · JSON

This is a historical record from 2026-08-27, superseded on 2026-08-27 by length 943jump to the current record (1288).

0200400600800050100 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -3 (drift removed).

0 6 3 2 6 0 3 6 1 0 3 5 4 2 3 5 6 4 5 0 6 2 0 4 1 6 1 2 1 0 2 1 5 0 4 6 1 0 2 1 6 4 5 3 1 6 4 2 0 4 6 5 4 5 0 3 6 2 6 4 6 2 0 4 2 3 0 1 5 1 3 0 6 2 5 0 4 6 1 0 3 5 6 4 1 4 6 3 6 5 6 2 0 3 5 6 3 6 1 5 4 6 0 1 4 0 2 1 3 5 2 4 6 4 5 6 5 2 0 3 6 4 3 6 5 6 4 6 5 1 6 3 5 6 0 1 2 4 5 3 4 6 5 2 5 3 1 4 6 5 2 6 5 6 4 5 1 6 4 6 5 3 6 5 6 4 6 5 1 5 6 5 1 0 3 6 5 1 6 5 4 5 2 0 3 1 0 2 3 2 6 4 5 0 3 6 5 2 5 6 4 6 1 6 5 3 6 5 6 4 6 2 6 4 1 5 3 0 6 1 4 0 4 1 2 0 1 3 6 0 1 2 1 3 5 6 4 0 6 2 3 6 3 1 6 2 6 4 6 5 4 6 1 4 1 0 3 6 2 4 0 2 0 1 4 5 6 2 5 1 0 1 3 4 1 2 0 2 6 4 0 2 0 6 5 3 4 6 2 1 6 4 5 3 0 1 5 6 3 0 1 3 0 2 6 0 1 0 3 0 2 3 0 3 5 3 4 2 0 1 0 4 6 1 2 4 6 5 2 1 2 3 4 0 5 3 0 2 3 0 1 0 2 1 2 4 2 1 6 4 2 1 0 5 0 2 1 0 1 3 6 1 0 2 1 5 0 1 0 2 0 1 0 3 1 0 2 0 1 6 0 3 0 2 5 4 1 5 1 0 3 0 1 0 6 4 0 2 3 4 6 2 0 5 6 3 5 0 1 0 2 1 0 4 0 2 0 1 0 3 4 2 1 2 0 1 2 3 1 6 1 0 2 1 5 3 6 0 2 5 3 5 6 5 3 5 1 5 4 6 0 2 1 5 3 1 6 0 5 2 1 0 2 1 3 5 0 2 0 3 1 0 6 4 6 1 0 5 4 6 5 6 1 5 6 3 2 0 2 6 5 6 1 5 6 4 1 5 4 1 0 3 1 3 2 1 0 2 5 6 3 0 6 1 6 4 5 3 5 6 4 5 1 0 3 5 4 3 2 6 5 6 3 6 5 6 0 4 0 6 5 3 6 1 3 1 0 1 6 3 1 5 6 4 6 5 1 6 3 5 6 3 2 0 1 5 3 5 4 5 6 4 6 3 5 3 1 5 3 6 5 6 0 6 4 6 5 6 4 6 3 5 6 4 1 4 6 5 6 1 6 0 2 6 5 2 4 6 5 3 6 4 0 3 0 1 4 2 6 4 6 3 6 4 6 2 6 4 3 4 1 4 5 6 4 2 3 5 2 1 0 5 4 5 6 1 0 5 1 3 0 2 3 1 6 1 5 1 4 0 1 0 3 4 0 1 0 2 1 0 6 1 0 5 0 1 2 6 5 6 3 5 6 4 6 0 6 2 5 1 0 5 6 5 4 5 2 6 5 6 4 6 3 5 1 6 5 0 5 4 0 2 3 5 6 3 4 0 2 1 0 1 5 0 3 4 1 0 3 6 5 6 4 6 3 2 6 4 5 6 5 2 1 0 1 4 2 0 1 0 4 0 6 1 0 2 1 5 1 0 5 4 5 2 1 4 0 1 0 3 4 2 1 0 4 2 5 4 6 4 2 0 5 2 0 2 6 0 1 3 2 4 3 0 1 0 2 0 3 1 0 1 2 4 0 2 6 4 3 0 2 6 2 1 2 0 1 2 3 5 1 5 6 4 5 1 3 0 1 0 2 1 4 0 4 1 4 2 6 4 5 0 6 3 1 0 1 5 3 5 4 6 5 4 5 3 0 2 6 5 6 3 6 5 6 1 6 5 4 2 0 1 6 0 5 6 3 6 5 2 3 2 0 1 0 5 2 1 2 6 5 0 3 1 0 5 1 0 1 3 1 2 4 5 0 6 4 1 2 4 0 1 2 4 3 6 5 6 4 3 1 4 1 0 2 5 1

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Alphabet {0, 1, 2, 3, 4, 5, 6}

size 7 · diameter 6 · record length 1288 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

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