Additive Squares

Word of length 514 over {0, 4, 5, 14}

by Aayush Rajasekaran, 2026-08-20 · the current record for this alphabet · JSON

0100200300400500-150-100-500 position in word → partial sum

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

0 4 0 5 0 4 0 14 0 4 0 5 4 0 4 14 4 0 4 5 4 14 5 0 5 14 4 5 14 0 5 0 4 0 5 0 14 0 4 5 4 14 4 5 0 14 5 14 4 14 5 0 14 0 4 14 4 5 4 0 4 5 4 14 5 4 5 0 5 14 0 4 0 5 4 0 4 14 4 5 4 14 4 0 14 4 5 14 0 4 0 5 4 0 4 14 4 5 14 0 14 5 14 4 14 5 0 14 0 4 14 0 14 5 14 4 5 0 5 14 0 5 0 4 0 14 0 4 0 5 4 14 4 0 14 4 14 5 4 5 0 4 0 14 0 5 14 4 14 5 14 0 14 5 4 14 4 0 14 4 14 5 14 0 14 5 14 4 5 14 5 0 5 14 5 4 5 0 4 0 14 5 14 4 14 0 14 4 14 5 4 0 4 5 4 14 4 5 0 14 5 0 5 4 0 14 4 14 5 14 0 5 14 5 4 0 5 0 14 0 5 0 4 0 14 4 0 4 5 0 5 14 0 4 5 14 4 5 4 0 4 5 4 14 4 0 14 4 14 5 4 0 5 0 14 5 4 0 14 4 14 5 14 4 14 0 14 5 0 14 0 4 14 5 14 4 0 4 5 0 5 14 0 5 0 4 0 14 4 0 4 5 4 14 5 0 5 4 14 5 14 0 5 0 4 0 5 0 14 0 5 4 14 5 0 14 0 4 0 5 0 4 0 14 4 0 4 5 4 0 4 14 4 5 14 5 0 14 0 4 0 14 5 0 5 4 0 5 0 14 4 14 5 4 5 0 5 14 5 4 14 5 14 0 4 14 4 5 4 0 4 5 4 14 5 0 4 14 5 14 0 5 0 4 0 14 0 4 0 5 4 0 4 14 4 0 4 5 4 14 5 0 14 5 4 14 4 0 14 4 14 5 14 0 14 5 14 4 5 14 5 0 5 4 5 14 4 14 0 4 14 4 5 4 0 4 5 4 14 5 0 5 4 0 5 0 14 0 4 0 5 4 0 4 14 5 14 4 0 14 5 0 5 4 5 14 5 0 5 4 0 14 0 5 14 5 4 14 5 14 0 14 4 14 0 14 5 0 5 4 0 4 14 4 0 4 5 4 14 5 14 0 5 0 4 14 5 4 5 0 5 4 5 14

Alphabet {0, 4, 5, 14}

size 4 · diameter 14 · record length 514 · JSON

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

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