Additive Squares

Word of length 145 over {0, 1, 2, 3, 5}

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

05010002040 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -2 (drift removed).

1 0 3 2 5 2 3 0 2 0 5 1 2 1 0 1 2 1 3 1 5 2 0 3 0 5 2 5 3 0 5 1 3 2 0 3 1 0 3 2 5 1 5 3 5 0 2 5 3 0 1 5 3 0 2 5 3 5 1 5 3 5 2 5 3 5 1 5 3 0 2 5 3 5 1 5 0 5 1 3 1 0 2 1 3 1 5 2 3 1 0 5 0 1 2 1 0 1 2 3 1 0 1 3 1 0 5 1 2 5 3 1 0 2 3 1 5 2 5 3 5 1 5 3 0 2 3 5 2 3 0 2 0 1 3 0 5 0 2 5 3 1 5 2 3

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Alphabet {0, 1, 2, 3, 5}

size 5 · diameter 5 · record length 145 · 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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