{"uid":"cap_vW-3xh6aMPjsewU5sF223","slug":"numora-sequence-generation-api-4fbdb9e6","name":"Numora Sequence Generation API","description":"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.","url":"https://numorapoi.orbonomy.xyz/api/generate/sequence?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","required":["n","rule"],"properties":{"n":{"type":"integer"},"rule":{"type":"string","description":"Recurrence rule (e.g., 'a[n] = 2*a[n-1] + 1')"},"initial":{"type":"array"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.02","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.02/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_neIEJJ86wMZyo2i9ymC7U","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Generates mathematical sequences of arbitrary length using custom recurrence rules and initial conditions","exampleAgentPrompt":"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].","exampleUseCases":null,"resultDescription":"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).","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-23T01:31:51.260Z","isFirstParty":false,"canonicalSlug":"numora-sequence-generation-api-4fbdb9e6"}