Additive Squares

Word of length 156 over {0, 1, 5, 7}

by Aayush Rajasekaran, 2026-08-26 · JSON

This is a historical record from 2026-08-26, superseded on 2026-08-30 by length 163jump to the current record (167).

050100150020 position in word → partial sum

Display: drawn for the equivalent alphabet translated by -3 (drift removed).

1 5 0 5 7 5 1 5 0 5 7 0 5 0 1 0 7 1 5 7 0 7 5 1 5 0 7 5 1 0 1 7 0 1 0 5 0 1 0 7 0 5 7 5 1 5 0 7 1 0 7 0 5 7 5 1 5 7 5 0 7 5 7 1 7 0 7 5 0 7 0 1 0 7 0 5 7 5 1 7 5 0 7 0 1 0 5 7 5 0 5 1 0 1 7 1 0 1 5 0 1 0 7 0 5 0 1 5 0 5 7 5 0 5 1 0 1 7 0 7 5 1 5 0 7 5 7 1 7 5 7 0 7 1 0 7 0 5 0 1 5 7 5 1 5 0 1 7 1 0 5 0 1 0 5 7

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Alphabet {0, 1, 5, 7}

size 4 · diameter 7 · record length 167 · 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.

Record history

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