{"uid":"cap_ijQXQFG93fjBcGahCK-NY","slug":"numora-lucas-number-generator-ddc98b42","name":"Numora — Lucas 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://numomo.vercel.app/api/generate/lucas","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_NbcHR7agfe3Y9d3To8e4s","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 Lucas number in the Lucas sequence using pure server-side math with no external dependencies","exampleAgentPrompt":"What is the 25th Lucas number? Use the pure math computation API to get the exact value.","exampleUseCases":[{"title":"Verify Lucas sequence in curriculum","prompt":"I'm building a math education tool — what is the 15th term in the Lucas sequence? I need the exact integer value."},{"title":"Number theory research check","prompt":"For a number theory project, can you compute the Lucas number at index 50? I need the precise result."},{"title":"Algorithm correctness validation","prompt":"I wrote a Lucas sequence function and want to double-check it — what should the Lucas number be at position 30?"}],"resultDescription":"Returns a JSON object with success (boolean), result (object containing the computed Lucas number value for the given index n), and computation (a human-readable string describing what was calculated, e.g. 'Lucas number at position 25').","failureModes":["Missing required field 'n' returns a 400-level error","Non-integer or float value for n may be rejected or produce unexpected results","Very large n values may exceed integer precision limits or timeout","Payment failure via x402 micropayment protocol will block the request"],"whenToPreferThis":"Use this endpoint when you need a mathematically exact Lucas number computed server-side without any local dependencies or library imports. Prefer this over implementing your own sequence logic when precision, correctness verification, or a clean API call is needed. Ideal for agents that lack a math runtime or need to cross-check local computation results.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-16T00:53:44.691Z","isFirstParty":false}