Find the Pattern

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

equations.sequence · v1 · renderer math

1. 2, 6, 10, 14, 18, … → 22 (arithmetic, difference 4) 2. -2, -1, 0, 1, 2, … → 3 (arithmetic, difference 1) 3. 17, 25, 33, 41, 49, … → 57 (arithmetic, difference 8) 4. 2, 7, 18, 35, 58, … → 87 (quadratic, second difference 6) 5. 9, 11, 20, 31, 51, … → 82 (each term is the sum of the two before it)

entropy in

16 bytes

stream used

24 bytes

rejections

duration

238 µs

problems

Seed receipt

Class A · Cryptographic degraded

Drawn from the kernel entropy pool on the server that rendered this page. (The source you picked was unreachable, so we fell back to the kernel.)

source: Operating System CSPRNG
observed: 2026-09-13T18:44:09+00:00
latency: 1509ms
mixed with: nothing — this source stands alone

This source publishes no per-draw proof URL.

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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.

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 Operating System CSPRNG.

seed token 45SKNQQJ3ATW4JZKF3DQPMTN5W

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.

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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