Sequences

Numbers that are the sum of 4 distinct positive cubes.

Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.

Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.

a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.

Least sum of 3 distinct nonzero squares in exactly n ways.

Least sum of 4 nonzero squares in exactly n ways.

Least sum of 4 distinct nonzero squares in exactly n ways.

Least sum of 3 positive cubes in exactly n ways.

Least sum of 3 distinct positive cubes in exactly n ways.

Least sum of 4 positive cubes in exactly n ways.

Least sum of 4 distinct positive cubes in exactly n ways.

Number of partitions of n into 7 squares.

Number of partitions of n into 8 squares.

Number of partitions of n into 9 squares.

Number of partitions of n into 10 squares.

Number of partitions of n into 2 nonzero squares.

Number of partitions of n into 3 nonzero squares.

Number of partitions of n into 4 nonzero squares.

Number of partitions of n into 5 nonzero squares.

Number of partitions of n into 6 nonzero squares.

Number of partitions of n into 7 nonzero squares.

Number of partitions of n into 8 nonzero squares.

Number of partitions of n into 9 nonzero squares.

Number of partitions of n into 10 nonzero squares.

Number of partitions of n into 2 distinct squares.

Number of partitions of n into 3 distinct squares.

Number of partitions of n into 4 distinct squares.

Number of partitions of n into 5 distinct squares.

Number of partitions of n into 6 distinct squares.

Expansion of 1/((1-2x)(1-3x)(1-4x)(1-6x)).

Number of partitions of n into 2 distinct nonzero squares.

Number of partitions of n into 3 distinct nonzero squares.

Number of partitions of n into 4 distinct nonzero squares.

Number of partitions of n into 5 distinct nonzero squares.

Expansion of 1/((1-2x)(1-3x)(1-4x)(1-7x)).

Number of partitions of n into 2 nonnegative cubes.

Number of partitions of n into 3 nonnegative cubes.

Number of partitions of n into 4 nonnegative cubes.

Number of partitions of n into 5 nonnegative cubes.

Number of partitions of n into 6 nonnegative cubes.

Number of partitions of n into 7 nonnegative cubes.

Number of partitions of n into 8 nonnegative cubes.

Number of partitions of n into 9 nonnegative cubes.

Number of partitions of n into 10 nonnegative cubes.

a(n) is the number of partitions of n into 2 positive cubes.

Number of partitions of n into 3 positive cubes.

Number of partitions of n into 4 positive cubes.

Number of partitions of n into 5 positive cubes.

Number of partitions of n into 6 positive cubes.

Number of partitions of n into 7 positive cubes.