{"uid":"cap__NaEz07aht0ch6E_4aEja","slug":"numora-bernoulli-number-generator-37568359","name":"Numora Bernoulli 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://numormo.vercel.app/api/generate/bernoulli","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":"registry","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_8YWJtmE4YRTj4VPXIaMGZ","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the nth Bernoulli number using pure mathematical computation with no external dependencies","exampleAgentPrompt":"Can you compute the 12th Bernoulli number for me using exact arithmetic?","exampleUseCases":[{"title":"Taylor series coefficient lookup","prompt":"I need the 8th Bernoulli number to compute the coefficients in a Taylor series expansion — can you calculate B(8) for me?"},{"title":"Euler-Maclaurin summation formula","prompt":"For my Euler-Maclaurin summation, I need Bernoulli numbers up to index 10 — start by giving me B(10)."},{"title":"Number theory research verification","prompt":"Can you verify what the exact value of the 16th Bernoulli number is? I want to double-check my hand calculation of B(16)."}],"resultDescription":"Returns a JSON object with success=true, a result object containing the computed Bernoulli number (exact rational or high-precision value), and a human-readable computation string describing what was calculated.","failureModes":["Missing required field 'n': returns validation error","Non-integer or negative index: may return error or undefined behavior","Very large n values may exceed computation limits or return slowly","Payment failure via x402 micropayment protocol: 402 response before computation occurs"],"whenToPreferThis":"Choose this endpoint when you need exact or high-precision Bernoulli number values for a specific index, particularly for number theory, calculus (Taylor/Maclaurin series), zeta function evaluation, or Euler-Maclaurin summation — especially when you want a pure serverless math computation with no external library dependencies and a predictable per-call micropayment model.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:06:20.976Z","isFirstParty":false}