Additive Squares

Word of length 88 over {0, 1, 3, 5}

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

Display: drawn for the equivalent alphabet translated by -2 (drift removed).

1 0 5 0 3 0 5 0 1 0 3 1 0 1 5 0 3 5 1 5 0 3 0 1 0 5 1 5 3 5 0 5 3 5 1 3 5 3 0 1 5 1 3 5 1 0 5 0 3 0 5 1 0 1 3 0 1 0 5 0 3 0 5 0 1 5 1 3 1 5 0 5 3 5 1 3 1 0 1 3 5 1 5 0 5 3 1 5

Alphabet {0, 1, 3, 5}

size 4 · diameter 5 · record length 88 · JSON

closed The exact maximum additive-square-free word length over this alphabet is 88. exhaustive search

Closure claims

• accepted max 88 claimed by Aayush Rajasekaran, 2026-08-20 — exhaustive search

Record history

• 88 (first) — Aayush Rajasekaran, 2026-08-20

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