{"uid":"cap_KYSX5C6WEnUHclZM5mkgh","slug":"numora-sequence-generation-api-a010362c","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://numormor.netlify.app/api/generate/sequence","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":{"p10Cents":"2.0000","medianCents":"2.0000","p90Cents":"2.0000","minCents":"2.0000","maxCents":"2.0000","p95Cents":"2.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"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_y60-waRPLP3_sOOWZ01-k","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 length n using a user-defined recurrence rule and optional initial values","exampleAgentPrompt":"Generate the first 25 terms of the sequence defined by the recurrence rule a[n] = 2*a[n-1] + 1, starting with initial values [1, 3].","exampleUseCases":[{"title":"Financial growth projection model","prompt":"I need to model a monthly savings plan where each month I save the previous month's amount plus $500. Start with $1,000 in month one and show me the projected balance for the next 36 months."},{"title":"Fibonacci-based loan amortization","prompt":"Generate the first 20 terms of a loan payment sequence where each payment equals 1.5 times the previous payment minus the payment from two months ago, starting at $2,000 and $2,300 respectively."},{"title":"Exponential growth with decay factor","prompt":"Create a sequence of 30 terms where each term is 1.08 times the previous term minus 50, beginning with an initial value of 10,000. I want to see how this models population with emigration."}],"resultDescription":"Returns a JSON object with success: true, a result object containing the generated sequence terms, and a computation string describing what was computed in human-readable form.","failureModes":["Invalid or unparseable recurrence rule string — API may return error or unexpected output","n is too large, causing timeout or resource exhaustion","initial values array has insufficient elements to bootstrap the recurrence","Malformed JSON body — returns 400 or similar error","Division by zero or undefined operation in the recurrence rule"],"whenToPreferThis":"Use this endpoint when you need to programmatically generate terms of a sequence defined by a custom recurrence relation, especially when the rule involves prior terms (e.g., a[n] = f(a[n-1], a[n-2])). It is better than manual computation or general-purpose code execution when you want a lightweight, zero-dependency math API call with micropayment billing per use.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:50:11.176Z","isFirstParty":false}