{"uid":"cap_toqJDmRpKNKzuKezv8byN","slug":"numora-catalan-number-generator-fc4ae3dc","name":"Numora Catalan Number Generator","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/catalan","method":"POST","headers":{},"bodySchema":{"type":"object","required":["n"],"properties":{"n":{"type":"integer"}}},"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":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_Osgj4X8mG17DhKubZ_w9a","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":"Computes the nth Catalan number for a given non-negative integer n","exampleAgentPrompt":"What is the 12th Catalan number? Use the pure math computation API to calculate it for me.","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the computed Catalan number for the given n, and a human-readable computation string describing what was calculated (e.g. 'Catalan number C(12) = 208012').","failureModes":["Missing required field 'n' → 400 Bad Request","n is not an integer (float or string) → validation error","n is negative → may return error or undefined behavior","n is extremely large → potential integer overflow or timeout","Payment not included or insufficient → 402 Payment Required"],"whenToPreferThis":"Use this endpoint when you need a precise, server-computed Catalan number for a specific index n without relying on local libraries or writing combinatorial math code. Ideal for AI agents needing combinatorics values on-the-fly via micropayment, especially when the agent environment lacks math libraries.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:51:15.153Z","isFirstParty":false}