Additive Squares

Word of length 244 over {0, 1, 2, 15, 18, 19}

by Bryna Kra, 2026-08-26 · the current record for this alphabet · JSON

050100150200-50050 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -9 (drift removed).

0 19 2 18 15 1 0 1 2 0 15 1 18 15 19 18 19 2 0 19 2 18 19 2 0 1 2 0 19 2 18 15 19 18 19 2 0 15 1 18 15 19 18 15 1 0 15 1 18 15 1 0 1 2 0 19 2 18 15 1 0 1 2 0 15 1 18 15 1 0 1 2 0 19 2 18 19 2 0 1 2 0 19 2 18 15 1 0 1 2 0 15 1 18 15 19 18 15 1 0 15 1 18 15 1 0 1 2 0 19 2 18 15 19 18 19 2 0 15 1 18 15 19 18 15 1 0 15 1 18 15 19 18 19 2 0 19 2 18 15 19 18 19 2 0 15 1 18 15 19 18 19 2 0 19 2 18 19 2 0 1 2 0 19 2 18 15 1 0 1 2 0 15 1 18 15 19 18 19 2 0 19 2 18 19 2 0 1 2 0 19 2 18 15 19 18 19 2 0 15 1 18 15 19 18 19 2 0 19 2 18 19 2 0 1 2 0 19 2 18 15 1 0 1 2 0 15 1 18 15 1 0 1 2 0 19 2 18 19 2 0 1 2 0

Alphabet {0, 1, 2, 15, 18, 19}

size 6 · diameter 19 · record length 244 · JSON

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

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