Tetranacci Words Generator

The tetranacci word sequence is the four-memory member of the k-bonacci word family: four seeds open the run, then every word concatenates the four before it. The classic seeds "0", "01", "012" and "0123" produce 0, 01, 012, 0123, 012301201, 01230120101201230... — words whose character counts are the tetranacci numbers 1, 2, 3, 4, 10, 19, 36, 69... The recurrence that defined numbers now defines text, with the fastest realistic growth of the small-order k-bonacci words.

Tetranacci Words Generator builds the run to any term count up to 25, with fully editable seeds. Each row shows index, preview and exact length; Copy and Download export the complete words. Pure browser computation, nothing uploaded.

• Sequence construction: W(n) = W(n-1) + W(n-2) + W(n-3) + W(n-4) applied term by term from your four seeds.
• Editable seeds: Any four strings define a valid run — digits, letters, symbols or phrases.
• Quartic growth displayed: Per-term character counts follow the tetranacci numbers exactly.
• Preview discipline: Words past 90 characters are truncated with a remainder count, so 27-million-character terms stay navigable.
• Full export: Copy or download the complete words with a clear 600,000-character safety cap and note.
• Reference tab: The classic quaternary words, the morphism, the growth constant and the k-bonacci comparison.
• Free and private: All assembly runs locally — nothing is uploaded, stored or logged.

1. Set the term count — how many words, from the seeds upward (1 to 25).
2. Edit the seeds — four comma-separated words; the defaults are "0, 01, 012, 0123".
3. Generate — rows appear with index, preview and character count.
4. Watch the quartic growth — 1, 2, 3, 4, 10, 19, 36, 69...
5. Copy or download — the complete sequence for study or reuse.

Example 1 — The classic run. Seeds "0, 01, 012, 0123" with 8 terms give words of lengths 1, 2, 3, 4, 10, 19, 36, 69 — the tetranacci numbers in order.

Example 2 — Alphabet variant. Seeds "a, ab, abc, abcd" produce the alphabetical quaternary words a, ab, abc, abcd, abcdabcaba... term by term.

Example 3 — The doubling illusion. Cross-check with the tetranacci numbers: term 7 has 36 characters and term 9 exactly 134 — the recurrence reproduced by pure concatenation.

Example 4 — Prefix property. Generate 10 terms to see every word begin with the previous one, the prefix chain that defines the infinite limit word.

Example 5 — Morphism seeds. Feed the morphism images "01, 02, 03, 0" and compare with the classic run — the same family approached by substitution.

• Instant construction: A full quaternary word run in one click, no manual concatenation.
• Seed freedom: Any four strings — the recurrence never cares about the alphabet.
• Growth visible: Exact character counts trace the tetranacci numbers term by term.
• Handles the explosion: 90-character previews and the export cap keep massive terms workable.
• Family context: The Reference tab places tetranacci words between tribonacci and pentanacci.
• Private by design: Words never leave the browser; nothing is uploaded or logged.