{"uid":"cap_H2dn-Z53ijH2G23bb3Lcd","slug":"numora-lucas-sequence-generator-d2e7e006","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://numormo.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_ouck3t5AsbfDWv-DEktfY","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":"Generates the nth Lucas number (or sequence up to n) using pure mathematical computation with no external dependencies","exampleAgentPrompt":"Can you compute the 15th Lucas number for me?","exampleUseCases":[{"title":"Algorithm seeding with Lucas numbers","prompt":"I need the 20th Lucas number to use as a seed value in my pseudorandom number generator algorithm — can you compute that for me?"},{"title":"Math homework sequence verification","prompt":"What is the Lucas number at position 7? I want to verify my hand calculation for a number theory assignment."},{"title":"Generative art parametric input","prompt":"Give me the Lucas number for n=12 so I can use it as a scaling factor in my generative art piece."}],"resultDescription":"Returns a JSON object with a boolean 'success' field, a 'result' object containing the computed Lucas number or sequence value for the given index n, and a 'computation' string describing in human-readable terms what was calculated.","failureModes":["Missing required 'n' parameter returns a 400-level error","Non-integer or negative values for n may produce unexpected behavior or errors","Very large values of n may cause integer overflow or timeout","Payment failure via x402 micropayment protocol results in 402 Payment Required before computation runs"],"whenToPreferThis":"Choose this endpoint when you need a fast, dependency-free, pure mathematical computation of Lucas numbers without setting up a local math library. Ideal for AI agents needing on-demand number theory results, seeding algorithms, or validating sequence values without managing computation infrastructure. Best for single lookups billed per-call at low cost.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:42:42.878Z","isFirstParty":false}