Additive Squares

Word of length 247 over {0, 1, 4, 10}

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

050100150200-40-200 position in word → partial sum

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

1 10 0 10 4 10 1 4 0 4 1 10 4 1 0 1 10 0 1 0 4 0 10 0 1 10 4 10 1 0 1 4 10 1 4 0 4 10 0 10 1 10 0 10 4 10 1 4 10 4 0 4 1 4 10 1 4 1 0 10 0 1 0 4 0 1 0 10 1 10 4 10 1 10 0 10 4 0 4 1 0 4 0 10 0 1 10 4 1 4 0 1 0 10 0 1 0 4 1 0 1 10 1 4 10 1 10 0 4 0 1 0 4 10 1 4 0 1 4 1 10 1 4 1 0 1 10 0 10 4 10 1 10 4 10 0 4 1 4 0 10 0 4 0 1 10 1 4 1 10 0 10 4 0 10 1 0 4 10 4 1 10 4 10 0 10 4 10 1 10 0 1 10 1 4 10 4 0 10 1 0 1 4 1 10 4 0 4 1 10 4 10 0 10 1 10 4 1 0 4 0 10 0 4 0 1 0 10 1 0 1 4 10 1 4 0 4 10 1 10 0 4 0 1 10 1 4 10 1 10 0 1 4 1 0 1 10 0 1 4 10 0 10 4 10 0 1

Alphabet {0, 1, 4, 10}

size 4 · diameter 10 · record length 247 · JSON

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

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