Additive Squares

Word of length 275 over {0, 1, 5, 9}

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

050100150200250-100-500 position in word → partial sum

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

1 9 1 5 0 5 1 5 0 9 1 9 5 9 1 0 5 0 9 0 1 9 1 5 1 0 1 9 0 1 0 5 0 9 0 1 9 0 9 5 9 1 9 5 9 0 5 0 1 9 1 5 1 9 0 5 9 5 1 9 0 1 0 5 0 9 0 1 0 5 1 5 9 1 5 1 0 1 9 1 0 1 5 0 1 0 9 0 1 0 5 0 9 5 0 5 1 9 5 9 0 5 0 1 0 9 1 0 1 5 1 0 1 9 1 5 9 0 5 9 1 9 5 0 9 0 1 9 0 5 9 1 5 1 0 5 0 9 0 1 9 0 9 5 9 0 9 1 0 1 5 9 0 9 5 9 1 9 5 9 0 5 1 5 9 0 9 1 0 1 5 1 9 1 0 9 1 9 5 9 1 9 0 9 5 0 9 0 1 0 5 1 0 1 9 0 9 5 1 9 1 0 1 5 1 0 1 9 0 1 0 5 0 1 0 9 0 5 9 0 9 1 0 5 1 0 1 9 5 9 0 9 1 0 1 5 1 0 1 9 1 5 9 1 9 0 9 5 9 0 9 1 0 5 1 9 1 0 5 0 9 0 1 5 1 9 1 0 1 9 1 5 9 0 9

Alphabet {0, 1, 5, 9}

size 4 · diameter 9 · record length 275 · 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.

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