A078393 Squarefree numbers which can be written as sum of a positive square and a positive cube.

2, 5, 10, 17, 26, 31, 33, 37, 43, 57, 65, 73, 82, 89, 91, 101, 113, 122, 127, 129, 134, 141, 145, 161, 170, 174, 177, 185, 197, 206, 217, 223, 226, 233, 241, 246, 257, 265, 269, 283, 290, 321, 337, 347, 353, 359, 362, 379, 381, 385, 401, 407, 427, 442, 443

Offset: 1

Author

Reinhard Zumkeller, Nov 25 2002

Keywords

• nonn

Examples

			7*13 = 91 = 8^2 + 3^3, therefore 91 is a term.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..8398

Crossrefs

Intersection of A005117 and A055394.

Cf. A066649.

Programs

Mathematica

spspcQ[{a_,b_}]:=AllTrue[{Sqrt[a],Surd[b,3]},IntegerQ]||AllTrue[{Sqrt[ b],Surd[ a,3]},IntegerQ]; Select[Range[500],SquareFreeQ[#] && Length[ Select[IntegerPartitions[#,{2}],spspcQ]]>0&] (* Harvey P. Dale, Jan 13 2019 *)