Additive Squares

Word of length 435 over {0, 1, 2, 3, 4, 5}

by David Renshaw, 2026-08-18 · JSON

This is a historical record from 2026-08-18, superseded on 2026-08-26 by length 474jump to the current record (474).

0100200300400050100150 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -2 (drift removed).

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

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

size 6 · diameter 5 · record length 474 · JSON

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

Know the exact maximum? Log in to claim this alphabet closed.

Record history

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