Additive Squares

Word of length 284 over {0, 2, 7, 10}

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

050100150200250-60-40-200 position in word → partial sum

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

0 2 10 7 2 10 2 0 2 10 7 0 7 2 7 10 2 0 2 10 7 2 10 0 10 7 0 10 0 2 10 2 7 10 0 10 2 7 10 7 0 7 10 7 2 7 10 0 2 10 2 7 10 0 2 0 10 0 7 2 7 10 2 7 2 0 7 10 7 0 7 2 0 10 0 2 7 0 2 10 0 10 7 0 10 0 2 0 7 0 2 0 10 2 0 2 7 2 0 2 10 2 7 10 2 10 0 2 0 7 0 10 2 10 7 10 2 0 2 10 2 7 10 7 0 7 2 7 10 2 0 2 7 0 2 0 10 2 0 2 7 0 7 10 7 2 10 7 10 0 10 2 10 0 10 7 0 10 2 0 7 10 7 2 10 2 0 2 10 7 2 7 0 7 10 7 2 10 7 10 0 10 7 10 2 7 2 0 7 10 2 0 10 2 10 7 10 2 10 0 10 7 0 10 0 2 0 7 2 0 2 10 7 10 0 2 10 7 0 7 10 7 2 0 2 7 2 10 7 10 0 10 2 0 2 7 2 0 2 10 0 2 0 7 0 10 0 2 10 2 7 2 0 7 10 7 2 10 7 10 0 7 0 2 0 10 0 7 10 0 10 2 7 2 10 2 0 10 7 0 10 0 2 10

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Alphabet {0, 2, 7, 10}

size 4 · diameter 10 · record length 284 · JSON

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

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