Find the Pattern

Arithmetic, geometric, quadratic or Fibonacci-like — with enough terms to be unambiguous.

equations.sequence · v1 · renderer math

1. 2, -3, -14, -31, -54, … → -83 (quadratic, second difference -6) 2. -5, 0, 9, 22, 39, … → 60 (quadratic, second difference 4) 3. 17, 22, 27, 32, 37, … → 42 (arithmetic, difference 5) 4. 2, 8, 20, 38, 62, … → 92 (quadratic, second difference 6) 5. 2, 8, 10, 18, 28, … → 46 (each term is the sum of the two before it)

Controls · from schema()

Pattern

Terms shown

4 9

How many

1 40

Entropy source

Picking a source changes the story on the receipt, never the quality: anything below class A is mixed with the OS CSPRNG before it reaches you. This result actually came from Bitcoin Proof-of-Work.

seed token Q1ACM7MPMQHSWPFCB1KVJSASK8

Re-render keeps this token. Generate replaces it. That is the whole idea.

Printable worksheet 20 problems · answers on page 2

The seed is printed in the footer, so the same sheet comes back from the same link — and a different seed is a different sheet.

entropy in

16 bytes

stream used

24 bytes

rejections

duration

254 µs

problems

Seed receipt

Class B · Public beacon

Bitcoin block 973,603 — 20 leading zeros of proof-of-work, found about ten minutes ago.

Published openly — anyone can look this value up after the fact.

source: Bitcoin Proof-of-Work
observed: 2026-10-28T22:10:58+00:00
latency: 983ms
mixed with: csprng — always

https://mempool.space/block/0000000000000000000030c0c091654edce8e67fe3e922e54bf05a015b4b37ff ↗

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The token is the seed, so this link recomputes the result rather than looking it up. No database, and it works for as long as v1 does.

This page and /api/v1/g/equations.sequence run the same code. There is no private endpoint.

Find the Pattern

Result

Measurements

Seed receipt

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