Additive Squares

Word of length 276 over {0, 2, 4, 11}

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

050100150200250050100 position in word → partial sum

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

11 4 0 4 11 4 0 2 11 4 11 0 4 0 2 0 4 11 0 11 2 0 11 4 0 2 4 2 11 4 11 0 11 4 11 2 4 11 4 0 4 2 4 0 4 11 0 11 2 4 11 2 0 2 4 0 2 0 11 0 4 0 11 0 2 11 4 2 0 2 4 11 4 0 4 11 2 11 4 11 0 2 0 4 11 0 11 2 11 0 11 4 11 0 2 4 2 11 4 11 0 11 4 11 2 4 11 4 0 4 2 4 0 4 11 0 2 0 4 11 4 2 11 4 11 0 11 4 11 2 11 0 2 4 0 2 0 11 0 2 0 4 2 4 11 0 4 11 2 11 4 0 11 0 2 0 4 2 4 11 4 2 4 0 2 4 2 11 0 2 0 4 0 2 0 11 0 2 4 11 4 2 4 0 2 0 11 0 4 0 11 0 2 11 0 11 4 2 4 0 11 0 2 11 0 11 4 11 2 11 4 11 0 4 11 4 2 4 0 4 2 4 11 2 11 0 4 0 2 4 2 11 0 4 0 2 0 11 0 2 0 4 2 11 2 0 11 2 11 4 11 0 4 11 4 2 0 4 2 11 2 4 0 2 0 11 0 4 0 2 4 2 11 4 2 4

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Alphabet {0, 2, 4, 11}

size 4 · diameter 11 · record length 276 · JSON

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

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