A180244 Numbers whose square can be expressed as the sum of a square, a cube and a fourth power of three different numbers.

5, 8, 9, 12, 17, 19, 21, 22, 23, 25, 28, 31, 32, 33, 35, 37, 38, 39, 42, 44, 45, 46, 47, 51, 52, 53, 54, 55, 57, 59, 60, 61, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 93, 95, 96, 97, 98, 99, 100, 101, 103, 105, 107

Offset: 1

Author

Carmine Suriano, Aug 19 2010

Keywords

• nonn

Comments

Subset of A180241, containing terms arising from different bases only.

Examples

			a(5)=17 since 17^2 = 289 = 5^2+2^3+4^4 = 12^2+4^3+3^4; (5,2,4) and (12,4,3) are all different. [Corrected by _Bruno Berselli_, Aug 25 2010]
		

Crossrefs

Cf. A180241, A180243.