Additive Squares

Word of length 262 over {0, 3, 5, 10}

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

050100150200250-100-500 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -5 (drift removed).

10 5 0 3 10 5 3 10 3 0 10 3 5 0 10 5 10 3 5 10 0 3 0 10 0 5 0 10 3 0 3 5 0 3 0 10 5 10 3 5 3 0 3 5 3 10 3 0 10 3 10 5 10 0 10 5 10 3 5 3 0 10 0 5 0 10 3 5 10 5 0 10 3 0 3 5 3 10 3 0 3 5 0 5 10 0 5 0 3 0 10 0 3 0 5 3 0 3 10 3 0 3 5 3 10 5 3 5 0 10 5 10 3 5 3 0 3 10 0 3 0 5 0 3 0 10 0 5 10 3 5 10 0 10 5 3 10 3 0 10 3 5 10 0 5 0 3 5 3 10 3 0 10 3 10 5 10 3 10 0 3 0 5 10 3 10 5 10 0 10 5 10 3 5 0 5 10 0 5 0 3 5 0 5 10 3 10 5 10 3 0 3 10 3 5 0 5 10 0 5 0 3 0 10 3 0 3 5 3 0 3 10 3 5 10 3 10 0 10 5 10 0 10 3 0 3 5 3 10 0 10 5 0 10 0 3 0 5 0 3 0 10 3 0 3 5 3 10 5 10 0 3 0 10 5 0 10 3 10 5 10 3

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Alphabet {0, 3, 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.

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