{"uid":"cap_25EM-iNUWTsoynBDpkwfz","slug":"bell-number-calculator-9213e2ec","name":"Bell Number Calculator","description":"Discover 1,600+ verified x402 agent APIs — crypto data, web scraping, AI inference, security, and more. 5 free trial calls per signed wallet. 6.7M+ requests served. Pay per call via x402 on Base — no subscription, no API keys. Verified — not just listed, tested.","url":"https://minia2a.uk/x402/bellNumber?utm_source=zero.xyz","method":"GET","headers":{},"bodySchema":{"type":"object","required":["input"],"properties":{"input":{"type":"object","properties":{"type":{"type":"string"},"method":{"type":"string"},"bodyType":{"type":"string"},"queryParams":{"type":"object"}}},"output":{"type":"object","properties":{"type":{"type":"string"}}}}},"responseSchema":{"type":"json","example":{"ok":true}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","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":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_0HYY9Ett-K_pWwwolJjTI","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the Bell number for a given integer input via a pay-per-call x402 API","exampleAgentPrompt":"Can you calculate the Bell number for n=7? I need the exact count of partitions of a 7-element set.","exampleUseCases":[{"title":"Combinatorics homework helper","prompt":"What is the Bell number for n=10? I need to know how many ways I can partition a set of 10 elements for my combinatorics problem set."},{"title":"Software testing partition count","prompt":"I'm designing test cases and need to know how many distinct partitions exist for a set of 6 items — can you get me the Bell number B(6)?"},{"title":"Mathematical sequence verification","prompt":"Can you look up the Bell number for n=12 so I can verify it against my hand-computed value in my number theory research?"}],"resultDescription":"Returns a JSON object with ok:true and the computed Bell number (an integer) for the specified input n, representing the total number of partitions of a set with n elements.","failureModes":["Missing or invalid 'input' parameter returns an error","Non-integer or negative input may yield unexpected results or an error","Payment failure via x402 protocol blocks the request","Rate limiting if trial calls (5 free) are exhausted without a funded wallet","Network timeout if the computation takes longer than expected for large n"],"whenToPreferThis":"Choose this endpoint when you need a quick, on-demand computation of a Bell number without setting up your own math library or combinatorics backend. Ideal for agents that occasionally need partition counts for arbitrary integers and want pay-per-call pricing with no subscription overhead.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-29T07:44:12.790Z","isFirstParty":false,"canonicalSlug":"bell-number-calculator-9213e2ec"}