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Combinatorial-Calculator

Part I

input:integers n, r, where 0<=r<=n

  • results of P(n, r), with respect to n, r
  • results of C(n, r), with respect to n, r
  • results of n^r, with respect to n, r
  • results of C(r+n-1, r), with respect to n, r

Part II

input:integers n, 0<=n

  • results of the first n Catalan number, with respect to n
  • results of the first n triangular number, with respect to n
  • results of the first n harmonic number, with respect to n
  • results of the first n Fibonacci number, with respect to n
  • results of the first n Lucas number, with respect to n

For Example:
Catalan Number
input:6
output:1, 1, 2, 5, 14, 42

Harmonic Number
input:3
output:1, 3/2, 11/6

Lucas Number
input:8
output:2, 1, 3, 4, 7, 11, 18, 29

Part III

input:integers n, 0<=n

  • results of Eulerian number, with respect to n
  • results of Stirling number, with respect to n

For Example:
Eulerian number
input:4
output:1, 11, 11, 1

Stirling number
input:6
output:1, 31, 90, 65, 15, 1

WEBSITE: https://hungyennn.github.io/Combinatorial-Calculator/

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