Additive Squares

Word of length 335 over {0, 3, 6, 13}

by Aayush Rajasekaran, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-26 by length 336jump to the current record (336).

0100200300-150-100-500 position in word → partial sum

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

0 3 0 6 0 3 0 13 0 3 0 6 3 0 3 13 6 0 6 3 0 6 13 0 13 3 0 6 13 6 3 13 6 13 0 13 3 13 0 13 6 0 13 0 3 0 6 3 13 3 0 13 3 13 6 3 0 6 3 13 3 6 0 3 0 13 0 3 0 6 0 3 13 3 6 0 6 3 6 13 6 3 6 0 3 0 13 6 3 0 13 3 13 6 13 3 13 0 13 6 0 13 0 3 0 13 0 6 0 3 6 3 13 6 3 0 6 0 13 6 13 3 13 6 0 13 0 3 13 0 13 6 13 3 13 6 13 0 6 13 6 3 0 3 13 6 13 0 6 13 6 3 6 0 6 3 6 13 3 13 0 6 0 3 13 0 13 6 13 3 13 6 13 0 6 13 6 3 0 13 0 3 0 6 0 3 0 13 3 6 3 13 0 13 6 0 6 3 6 13 6 3 6 0 3 6 3 13 0 3 0 6 0 3 0 13 0 3 6 13 6 3 6 0 3 0 13 0 6 0 13 0 3 13 0 13 6 3 6 0 13 0 3 13 0 13 6 13 0 13 3 13 6 3 6 0 3 6 3 13 0 3 13 6 13 0 6 13 6 3 0 13 0 3 0 6 0 3 0 13 3 6 3 0 6 3 6 13 6 3 6 0 3 0 13 0 6 13 0 13 3 6 0 6 13 6 3 6 13 6 0 13 3 13 0 13 6 0 13 3 6 0 6 13 0 13 3 13 0 13 6 0 13 3 6

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Alphabet {0, 3, 6, 13}

size 4 · diameter 13 · record length 336 · 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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