A180243 a(n) = number of ways in which the square of n can be expressed as the sum of a square, a cube and a fourth power.

0, 0, 0, 0, 2, 0, 1, 1, 3, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 3, 1, 2, 1, 2, 0, 0, 3, 0, 0, 1, 1, 4, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 4, 2, 3, 0, 0, 0, 4, 1, 4, 1, 5, 0, 2, 0, 2, 2, 3, 0, 1, 0, 5, 3, 2, 3, 3, 3, 2, 2, 5, 1, 5, 0, 4, 1, 1, 2, 5, 3, 1, 3, 1, 0, 4, 2, 3, 1, 3, 0, 3, 0, 5, 1, 3, 2, 2, 2, 1, 0, 4, 0, 12

Offset: 1

Author

Carmine Suriano, Aug 19 2010

Keywords

• nonn

Comments

The three terms of the sum and/or their bases can be the same.

Examples

			a(9)=3 since 9^2 = 81 = 1^2+4^3+2^4 = 4^2+4^3+1^4 = 8^2+1^3+2^4.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A180241, A180242.