Additive Squares

Word of length 364 over {0, 5, 7, 14}

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

0100200300050100 position in word → partial sum

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

0 5 0 7 0 5 0 14 0 5 0 7 5 0 5 14 5 0 5 7 5 14 7 0 14 0 5 0 7 0 14 7 5 7 14 7 0 7 14 5 7 5 0 5 7 5 14 5 0 14 5 14 7 14 5 14 0 14 7 0 14 0 5 14 7 14 5 0 5 7 0 5 0 14 0 5 0 7 0 14 7 0 7 5 14 0 14 7 14 5 14 7 14 0 7 0 5 7 0 7 14 5 7 5 0 5 14 5 7 14 7 0 14 7 14 5 14 0 14 5 14 7 5 14 5 0 5 14 5 7 5 0 7 5 7 14 0 7 0 5 7 5 14 5 0 14 5 14 7 14 5 14 0 14 7 0 5 7 14 7 0 14 0 5 0 7 0 5 0 14 5 7 5 0 14 5 14 7 14 0 7 5 0 14 0 7 5 7 14 5 7 5 0 5 14 5 0 5 7 0 5 0 14 0 5 0 7 0 14 7 0 7 5 0 5 14 5 0 7 5 0 5 14 0 14 7 14 0 14 5 0 14 0 7 0 5 0 7 0 14 7 14 5 14 7 14 0 14 7 5 0 7 0 14 0 7 5 0 5 14 5 7 14 5 14 0 5 0 7 14 0 14 5 14 7 14 5 14 0 5 14 5 7 5 14 5 0 5 7 0 14 0 5 7 0 7 14 0 14 5 7 0 14 5 0 5 7 5 0 14 5 14 7 14 0 14 7 14 5 7 14 0 7 5 0 7 0 14 0 7 0 5 0 14 5 7 5 14 0 14 7 5 7 0 14 0 5 7 5 0 5 14 5 0 5 7 0 7 14 0 5 7 0 7

Alphabet {0, 5, 7, 14}

size 4 · diameter 14 · record length 364 · 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.

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