{"uid":"cap_vm_4fCp__8iYEiy03DzlW","slug":"minia2a-bell-number-calculator-c4d9ce28","name":"minia2a Bell Number Calculator","description":"minia2a service: x402-bell-number","url":"https://minia2a.uk/x402/x402-bell-number","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":null,"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_3HXTsqGhlpm-QWLPM6nhh","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":"Returns the nth Bell number, a mathematical sequence counting the number of ways to partition a set","exampleAgentPrompt":"What is the 8th Bell number? I need to know how many ways a set of 8 elements can be partitioned.","exampleUseCases":[{"title":"Combinatorics homework helper","prompt":"Can you calculate the Bell number for n=6? I need it for a combinatorics problem about partitioning a set of 6 items."},{"title":"Sequence verification for research","prompt":"I'm checking my math — what's B(10), the 10th Bell number? I want to verify how many partitions a 10-element set has."},{"title":"Quick lookup for algorithm design","prompt":"What's the Bell number at index 4? I'm designing a clustering algorithm and need the partition count for 4 elements."}],"resultDescription":"Returns the Bell number B(n) — an integer representing the number of ways to partition a set of n elements into non-empty subsets.","failureModes":["Missing or invalid 'input' parameter returns an error","Very large values of n may exceed computational limits or timeout","Non-integer or negative inputs may return an error or unexpected result","Payment verification failure returns 402 Payment Required"],"whenToPreferThis":"Use this endpoint when you need to quickly compute Bell numbers for combinatorial math, set partitioning problems, or verifying partition counts without implementing the algorithm yourself. Best suited for small-to-medium values of n where a fast, pay-per-call approach is preferred over a local computation library.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T07:09:40.469Z","isFirstParty":false}