Additive Squares

Word of length 236 over {0, 1, 4, 9}

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

050100150200050 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -3 (drift removed).

0 1 0 4 0 1 0 9 0 1 0 4 1 0 1 9 1 0 1 4 1 9 4 0 9 0 1 0 4 1 0 1 9 4 0 4 9 4 1 9 1 0 9 1 9 4 9 0 9 4 9 1 4 9 4 0 4 1 4 0 4 9 0 1 4 1 9 1 0 9 4 9 0 9 1 0 1 4 0 9 0 4 0 1 4 1 9 1 0 1 4 0 1 0 9 0 1 0 4 0 9 4 0 4 1 0 9 0 1 0 4 1 4 9 1 0 1 9 4 9 1 0 9 4 0 4 1 4 0 4 9 4 1 9 4 9 0 1 0 4 9 4 1 0 1 4 9 1 9 0 1 0 4 9 4 1 9 4 9 0 9 4 9 1 9 0 1 9 1 4 9 0 4 9 4 1 9 1 0 1 4 1 0 1 9 0 4 1 4 0 4 9 0 9 1 0 1 4 0 1 9 0 9 4 9 1 9 4 9 0 4 1 4 9 0 9 1 0 1 4 0 4 9 4 0 1 0 4 0 9 4 9 1 0 9 0

Alphabet {0, 1, 4, 9}

size 4 · diameter 9 · record length 236 · 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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