Additive Squares

Word of length 215 over {0, 2, 5, 9}

by Aayush Rajasekaran, 2026-08-26 · the current record for this alphabet · JSON

050100150200020 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -4 (drift removed).

0 5 2 9 5 9 0 9 5 2 0 5 2 5 9 0 9 2 5 2 9 0 2 0 5 0 2 0 9 0 2 5 9 5 0 5 9 2 9 0 9 2 5 0 2 0 9 2 5 9 2 9 0 9 2 9 5 9 0 5 9 5 2 5 9 5 0 9 0 2 9 5 9 0 2 9 2 5 2 0 2 9 0 5 0 9 2 9 5 0 5 9 2 5 0 2 0 9 0 5 9 2 5 2 0 2 9 2 0 2 5 0 2 0 9 0 2 0 5 0 9 5 0 5 2 0 9 0 2 5 0 2 9 2 5 9 5 0 2 0 9 5 9 0 9 2 9 0 9 5 0 2 5 2 9 2 0 5 2 0 9 0 5 9 5 2 5 9 5 0 9 5 9 2 9 0 9 2 9 5 2 9 0 2 0 5 2 9 0 9 2 9 5 0 5 9 5 0 2 0 9 2 0 2 5 0 9 0 5 0 2 5 9 2 9

← previous record (214)

Alphabet {0, 2, 5, 9}

size 4 · diameter 9 · record length 215 · 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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