{"uid":"cap_KOE3Tybo4C-TAuXG96BMi","slug":"numora-lucas-sequence-generator-008d7fd6","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://numorapoi.orbonomy.xyz/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":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_W9Bs0Id_QO7sS49a7LBpk","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 first N terms of the Lucas sequence (2, 1, 3, 4, 7, 11, ...) via a pure math computation endpoint","exampleAgentPrompt":"Can you generate the first 15 terms of the Lucas sequence for me?","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the Lucas sequence terms (the first n numbers in the Lucas series starting 2, 1, 3, 4, 7, ...), and a human-readable computation string describing what was calculated.","failureModes":["Missing required field 'n' returns a validation error","Non-integer or negative value for n may return an error or unexpected result","n too large may cause timeout or computation limits","Payment failure via x402 micropayment returns 402 status before computation occurs"],"whenToPreferThis":"Use this endpoint when you need a server-side, zero-dependency computation of the Lucas sequence and don't want to implement the logic locally. Ideal for AI agents that require on-demand mathematical sequence generation without maintaining local math libraries. Preferred over Fibonacci endpoints when the specific Lucas series (starting 2, 1) is needed.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:49:57.520Z","isFirstParty":false}