Additive Squares

Word of length 945 over {0, 1, 2, 3, 4, 5, 6, 7}

by David Renshaw, 2026-08-19 · JSON

This is a historical record from 2026-08-19, superseded on 2026-08-20 by length 956jump to the current record (2718).

02004006008000200400 position in word → partial sum

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

2 3 6 4 2 4 5 7 5 2 5 0 2 6 4 1 0 7 5 6 7 3 7 4 7 5 4 2 6 3 6 4 0 4 7 5 4 1 2 7 3 2 4 7 2 3 1 6 4 1 0 4 3 0 6 3 2 0 2 3 1 6 4 6 7 1 7 6 4 7 6 1 0 4 5 6 2 5 6 0 1 3 0 6 4 3 5 0 3 6 1 6 3 5 3 0 2 0 5 3 0 1 0 2 4 1 7 5 0 3 5 6 1 5 4 7 5 3 7 0 4 5 4 7 3 1 0 3 4 3 0 6 0 3 0 2 5 7 6 0 3 0 5 7 3 7 0 3 6 7 3 2 6 3 7 4 5 3 4 6 7 6 5 7 0 2 0 3 1 5 6 3 7 0 2 0 6 0 3 7 6 7 5 7 3 7 4 2 0 1 3 0 5 4 7 0 6 3 5 3 2 5 1 0 1 2 4 0 7 4 2 3 5 6 5 3 2 7 1 0 2 6 3 1 7 0 2 7 3 0 2 0 3 0 4 2 1 0 1 3 1 6 3 2 1 0 2 0 4 3 0 2 3 6 3 7 0 2 4 6 2 3 1 2 7 2 0 6 7 4 0 5 7 2 4 2 6 4 0 2 4 6 7 1 2 1 4 0 4 1 2 7 1 7 0 4 7 1 2 4 2 0 1 0 3 6 4 0 2 0 7 1 0 1 2 6 3 6 4 6 7 1 4 6 2 5 2 4 1 3 6 7 0 7 4 7 6 4 7 5 1 3 7 6 3 1 2 6 1 3 7 5 6 7 3 7 5 3 1 0 3 7 1 3 7 6 0 3 4 2 4 0 2 6 1 2 0 1 0 4 0 1 2 4 7 1 5 0 4 2 3 6 4 6 3 1 6 2 4 6 7 5 6 7 6 2 5 7 4 7 5 2 0 6 7 0 6 5 3 4 0 1 6 2 7 5 3 0 5 4 7 5 7 0 7 5 6 5 7 5 6 0 2 7 5 7 4 7 6 7 4 7 0 2 0 7 1 0 6 7 5 3 7 3 4 3 2 7 6 7 5 2 7 6 0 2 3 6 7 6 1 0 4 0 5 4 0 3 0 1 7 6 5 0 5 2 1 0 7 0 5 4 5 0 5 4 6 7 2 1 7 4 6 1 7 6 7 4 7 5 7 3 4 1 7 5 7 3 6 0 5 2 0 5 0 4 5 0 6 1 3 0 5 3 4 7 4 2 0 3 7 0 1 0 2 0 5 3 0 6 0 7 0 4 6 4 0 5 6 4 0 2 0 3 1 5 7 0 3 5 0 2 7 3 4 7 6 4 2 7 0 2 1 4 7 1 7 2 0 5 0 6 0 2 5 2 3 0 7 6 2 0 1 0 5 3 0 5 2 0 3 0 2 0 6 1 0 5 6 3 1 5 0 1 2 4 1 4 7 5 7 6 0 1 2 3 7 6 0 3 5 0 6 1 0 2 0 6 0 2 0 7 3 0 2 0 4 0 3 7 6 3 7 3 2 1 0 7 5 3 4 6 7 6 1 5 1 7 3 2 4 7 5 7 6 7 3 6 1 6 4 1 2 0 7 2 0 3 4 6 3 2 1 5 6 7 5 1 7 3 1 2 5 6 0 3 4 0 4 5 0 2 0 3 1 0 2 4 6 5 2 7 4 0 3 0 7 1 3 7 2 5 1 0 2 0 7 5 4 6 5 3 0 7 0 4 7 1 5 7 3 6 7 6 5 6 3 7 6 0 5 7 5 4 7 5 7 6 7 5 1 6 7 4 0 1 2 6 4 6 2 5 4 0 2 1 0 1 7 5 7 3 0 5 6 0 3 2 0 2 1 5 6 3 5 1 0 2 3 0 1 7 5 0 2 6 3 6 2 5 6 7 6 5 6 4 3 6 7 3 1 0 3 0 4 6 0 5 2 1 0 2 1 7 0 3 0 2 4 7 1 2 1 0 2 7 4 3 0 4 2 7 5 6 0 4 5 4 0 1 2 7 0 7 4 2 0 1 4 0 2 4 0 3 4 7 3 2 1 7 6 4 7 6 7 3 4 7 4 0 1 2 1 5 7 0 2 7 5 7 3 6 1 5 1 0 2 6 4 6 1 0 2 3 0

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Alphabet {0, 1, 2, 3, 4, 5, 6, 7}

size 8 · diameter 7 · record length 2718 · JSON

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

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