{"uid":"cap_oQ8coJbj5sC0GWOLTRPnD","slug":"numora-lucas-sequence-generator-9abd5192","name":"Numora Lucas Sequence 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/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":"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":1},"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_87cXg331CN4wyid18ZjcG","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":"Generates the nth Lucas number or the Lucas sequence up to n terms using pure mathematical computation","exampleAgentPrompt":"What is the 20th Lucas number? Use Numora's pure math API to compute it.","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the computed Lucas number or sequence, and a human-readable computation string describing what was calculated.","failureModes":["Missing required field 'n' returns validation error","n is not an integer (e.g. float or string) causes schema rejection","Very large n may exceed computation limits or return overflow","Payment failure via x402 returns 402 with payment details","n is negative which may not be supported and returns an error"],"whenToPreferThis":"Use this endpoint when you need deterministic, server-side computation of Lucas numbers or sequences without writing custom math logic. Ideal for agents that need number-theory sequence values on demand with zero local dependencies and pay-per-call pricing.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:48:01.543Z","isFirstParty":false}