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Numora Sequence Generation API
x402
Numora Sequence Generation API is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-23).
Generates mathematical sequences of arbitrary length using custom recurrence rules and initial conditions
Price / call$0.02
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with a 'success' boolean, a 'result' object containing the generated sequence terms, and a 'computation' string describing in human-readable language what was computed (e.g. the rule applied and number of terms generated).
Example use cases
Example prompt
“Generate the first 15 terms of the sequence defined by the recurrence rule a[n] = 2*a[n-1] + a[n-2], starting with initial values [1, 1].”
Technical details
Endpoint
POSThttps://numorapoi.orbonomy.xyz/api/generate/sequence?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need to generate a sequence of numbers from a custom recurrence relation or mathematical rule without relying on external libraries or services. Ideal for AI agents needing deterministic, pure-math sequence generation with no side effects. Prefer this over general-purpose code execution when you want a lightweight, paid-per-call micro-service that handles the math computation for you.
Side effects
- Invalid or unparseable recurrence rule string — returns error indicating rule syntax issue
- n is zero or negative — may return empty result or validation error
- Insufficient initial values provided for the recurrence depth — returns error about missing initial conditions
- Malformed JSON body — returns 400 bad request
- Payment not attached or insufficient — returns 402 Payment Required
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| nrequired | integer | |
| rulerequired | string | Recurrence rule (e.g., 'a[n] = 2*a[n-1] + 1') |
| initial | array |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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