Additive Squares

Word of length 741 over {0, 1, 8, 14}

by Bryna Kra, 2026-08-25 · the current record for this alphabet · JSON

0200400600-200-1000 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -6 (drift removed).

1 14 1 0 1 14 1 8 0 1 0 14 0 1 0 8 0 14 8 1 14 1 0 1 8 14 8 1 8 0 8 1 8 14 1 0 14 1 8 14 8 0 14 8 14 1 0 14 0 8 0 1 0 14 0 8 14 8 1 14 8 0 8 14 8 1 14 1 0 1 8 1 0 1 14 0 1 0 8 14 8 1 0 1 14 0 1 0 8 0 1 0 14 0 8 14 0 14 1 0 1 8 0 1 0 14 8 0 8 1 8 14 1 8 1 0 14 8 0 1 0 14 1 14 8 1 0 14 0 8 14 0 14 1 14 8 14 1 14 0 1 14 8 1 8 0 8 14 1 14 8 14 0 1 0 8 0 1 14 1 8 1 0 1 8 1 14 8 14 0 1 14 8 1 8 0 8 14 8 1 14 8 14 0 14 8 14 1 14 0 1 8 1 0 1 14 0 8 14 8 1 14 8 14 0 14 1 14 0 14 8 0 1 0 8 0 14 8 1 8 14 0 14 8 14 1 0 1 14 8 1 0 8 1 8 14 1 0 1 14 1 8 1 14 0 1 0 8 0 1 0 14 0 8 14 1 14 8 0 8 1 14 8 0 1 0 14 1 14 8 14 0 14 1 0 14 0 8 0 14 0 1 0 8 1 0 1 14 0 8 0 14 0 1 14 1 8 14 8 0 8 1 8 14 1 0 1 8 0 1 0 14 1 8 14 0 8 0 1 0 14 0 1 0 8 1 0 1 14 1 0 1 8 1 14 8 1 8 0 1 14 1 0 1 8 0 14 8 0 8 1 14 0 14 8 0 14 1 0 1 8 0 14 8 0 8 1 8 0 8 14 8 1 14 8 14 0 14 1 14 0 14 8 0 1 8 1 14 1 0 14 8 14 1 0 14 0 8 0 1 8 1 14 1 8 1 0 1 14 0 1 0 8 0 1 0 14 1 14 8 0 1 14 0 1 0 8 0 1 14 0 14 8 14 0 14 1 14 0 8 1 8 14 8 0 14 1 14 0 8 0 1 14 1 0 8 1 8 14 8 1 8 0 8 14 0 14 1 14 8 14 0 8 14 8 1 8 14 8 0 14 0 1 8 14 8 1 8 0 8 1 8 14 1 0 1 8 14 8 0 14 0 1 8 1 14 0 1 0 8 0 1 0 14 0 8 14 1 8 0 8 14 0 14 1 14 0 14 8 14 1 8 0 8 14 0 8 0 1 8 14 1 0 1 8 0 8 14 8 1 8 14 8 0 14 8 14 1 0 1 8 14 8 0 14 8 14 1 14 8 14 0 14 1 0 14 0 8 14 1 14 8 14 0 14 8 1 14 1 0 1 14 8 1 8 0 8 14 1 8 14 0 14 1 0 14 0 8 14 8 1 0 8 0 14 0 1 0 14 0 8 14 0 14 1 14 0 14 8 14 1 8 14 8 0 8 1 0 14 1 0 8 0 1 14 0 14 8 0 14 0 1 0 8 0 1 0 14 1 0 1 8 1 14 8 0 14 0 1 14 1 8 1 14 1 0 14 1 14 8 14 0 14 8 14 1 8 0 14 1 0 14 0 8 0 14 0 1 0 8 1 0 1 14 0 14 8 14 1 14 0 1 8 1 0 1 14 0 8 1 8 14 1 8 1 0 14 8 0 8 1 0 14 8 14 1 8 14 0 8 0

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Alphabet {0, 1, 8, 14}

size 4 · diameter 14 · record length 741 · JSON

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

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