Additive Squares

Word of length 283 over {0, 1, 7, 9}

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

050100150200250050100 position in word → partial sum

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

0 1 7 9 0 1 9 1 7 9 7 0 7 1 7 0 7 9 0 1 0 9 7 9 1 0 1 7 9 7 0 9 7 9 1 9 0 9 1 9 7 1 0 1 9 7 1 7 0 1 0 9 0 1 7 9 1 7 1 0 7 0 9 7 0 7 1 9 7 9 0 9 1 9 0 9 7 0 1 0 9 7 0 7 1 0 1 9 1 0 1 7 0 1 0 9 0 7 0 1 7 0 7 9 7 1 7 0 1 0 9 0 1 0 7 0 9 1 9 7 9 0 7 0 1 9 0 7 9 7 1 9 7 9 0 1 9 1 7 1 9 1 0 1 7 0 9 7 1 7 9 0 9 1 7 9 0 1 0 7 1 7 9 7 0 7 9 7 1 9 7 9 0 9 7 9 1 9 0 1 7 1 9 7 9 0 9 7 9 1 7 9 7 0 7 1 0 1 9 0 1 7 0 7 9 0 1 9 1 7 9 1 9 0 9 7 0 9 0 1 0 7 1 0 1 9 1 0 1 7 0 7 9 0 7 0 1 7 0 7 9 1 9 7 9 0 9 7 9 1 7 1 0 9 1 7 0 7 9 0 7 0 1 0 9 1 0 1 7 9 1 9 0 9 7 9 0 9 1 0 9 7 1

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Alphabet {0, 1, 7, 9}

size 4 · diameter 9 · record length 283 · JSON

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

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