Integers

Introduction

A natural number is one of the counting numbers

1, 2, 3, . . .

An integer number is a number which can be represented as the difference of two natural numbers.

Contents

Combinations

How can numbers be combined to form another number?

Partitions

The number of partitions of an integer into odd integers is equal to the number of partitions into distinct integers. If p(n) is the number of partitions of n, then

5((1-x2)(1-x10)(1-x15)...)5/((1-x)(1-x2)(1-x3)(1-x4)...)6 = p(4) + p(9)x + p(14)x2 + ...