python.p0045 Namespace Reference

Functions
def	T
def	P
def	H
def	main ()

Detailed Description

Project Euler Problem 45

Problem:

Triangle, pentagonal, and hexagonal numbers are generated by the following formulae:
Triangle        Tn=n(n+1)/2         1, 3, 6, 10, 15, ...
Pentagonal      Pn=n(3n−1)/2        1, 5, 12, 22, 35, ...
Hexagonal       Hn=n(2n−1)          1, 6, 15, 28, 45, ...

It can be verified that T285 = P165 = H143 = 40755.

Find the next triangle number that is also pentagonal and hexagonal.

Function Documentation

def python.p0045.H

(

n

)

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def python.p0045.main

(

int

)

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def python.p0045.P

(

n

)

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def python.p0045.T

(

n

)

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