Additive Squares

Word of length 262 over {0, 2, 5, 10}

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

050100150200250-20020 position in word → partial sum

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

0 2 0 5 0 2 0 10 0 2 0 5 2 0 2 10 2 0 2 5 2 10 5 0 10 2 5 10 0 5 0 2 0 5 0 10 0 5 2 5 10 0 10 5 10 2 0 2 5 0 2 0 10 2 5 2 10 2 0 10 5 10 0 10 2 10 0 5 2 0 5 0 10 5 2 10 5 10 0 10 5 10 2 10 0 2 10 2 5 0 5 10 2 10 0 2 10 2 5 2 10 2 0 2 5 0 5 10 0 5 2 0 2 10 2 5 0 10 5 10 2 10 5 10 0 10 2 0 10 0 5 0 2 0 5 0 10 5 10 2 10 5 0 2 0 10 2 0 2 5 2 10 5 0 10 0 2 0 5 0 2 0 10 2 0 2 5 2 0 2 10 2 5 10 2 10 0 5 2 0 5 0 10 5 10 2 0 10 2 5 2 10 0 2 0 5 0 2 0 10 0 5 10 0 10 2 0 5 2 10 5 10 0 10 5 10 2 10 0 2 10 2 5 2 10 2 0 10 0 5 0 10 0 2 10 0 10 5 2 10 2 0 2 5 2 10 2 0 10 0 5 0 2 0 10 2 5 2 10 0 2 10

Alphabet {0, 2, 5, 10}

size 4 · diameter 10 · record length 262 · 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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