{"uid":"cap_uTVWpLZrwGqOkxHdnp7Rz","slug":"numora-euler-number-generator-4f0229e0","name":"Numora Euler 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/euler","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_5HN0aS9nBHMKwtZ-ow9MW","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 Euler numbers (E_n) for a given non-negative integer index n","exampleAgentPrompt":"What is the Euler number E_10? Use the Numora pure math API to compute it for index n=10.","exampleUseCases":[{"title":"Taylor series coefficient lookup","prompt":"I need the Euler number at index 8 for a secant function Taylor series expansion — can you compute E_8 using the Numora math API?"},{"title":"Combinatorics alternating permutation count","prompt":"For my combinatorics homework, what is the number of alternating permutations for n=6? Use the Euler number endpoint with n=6 to find it."},{"title":"Number theory sequence generation","prompt":"Generate the first several Euler numbers starting at index 0 up through index 12 so I can analyze their pattern — compute each one with the pure math Euler endpoint."}],"resultDescription":"Returns a JSON object with 'success' (boolean, always true on success), 'result' (object containing the computed Euler number E_n for the given index), and 'computation' (a human-readable string describing what was calculated, e.g. 'Euler number E(10)')","failureModes":["Missing required parameter 'n' returns a validation error","Negative or non-integer value for 'n' may return an error or undefined behavior","Very large values of 'n' may cause computation timeouts or overflow","Payment failure via x402 micropayment protocol prevents the call from being processed","Network or server error on vercel.app deployment returns 5xx"],"whenToPreferThis":"Choose this endpoint when you need exact, pure-math Euler numbers (E_n from the alternating permutation / secant-expansion sequence) with no external dependencies, at low per-call cost ($0.02 USDC). Prefer this over general-purpose CAS tools when you need a lightweight, deterministic, agent-callable REST endpoint with x402 micropayment support on Base.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T12:49:37.625Z","isFirstParty":false}