{"uid":"cap_o8au1daaxDfGMPrfVX75f","slug":"numora-pascal-triangle-generator-47f3d522","name":"Numora Pascal Triangle 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/pascal-triangle","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_Y3SAeKBLfOXQCqExpThQ5","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 Pascal's triangle up to n rows, returning all row values as a pure math computation with no external dependencies","exampleAgentPrompt":"Generate Pascal's triangle with 10 rows so I can look up binomial coefficients.","exampleUseCases":[{"title":"Binomial expansion coefficient lookup","prompt":"Generate Pascal's triangle up to 8 rows so I can find the binomial coefficients for expanding (a+b)^7."},{"title":"Combinatorics teaching aid","prompt":"Can you build Pascal's triangle for the first 12 rows? I'm teaching a class on combinatorics and want to show the pattern of nCr values."},{"title":"Number pattern exploration","prompt":"Give me Pascal's triangle for 6 rows — I want to check whether the diagonal sums really do produce the Fibonacci sequence."}],"resultDescription":"Returns a JSON object with success=true, a result object containing the full Pascal's triangle as a 2D array of integers (each inner array is one row), and a human-readable computation string describing what was computed.","failureModes":["Missing required field 'n' returns a 400-level error","n is not a valid integer (e.g. float or string) causes a validation failure","Extremely large n values may cause timeout or memory errors","Payment not included or insufficient USDC causes x402 payment-required error"],"whenToPreferThis":"Choose this endpoint when you need a fast, serverless, dependency-free computation of Pascal's triangle rows — especially in agentic pipelines where you want pure math with micropayment billing via x402 on Base rather than running local code or calling a general-purpose computer algebra system.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:04:00.271Z","isFirstParty":false}