A094740 Numbers n such that 4^k n, for k >= 0, are numbers having a unique partition into three positive squares.

3, 6, 9, 11, 14, 17, 18, 19, 21, 22, 26, 29, 30, 34, 35, 42, 43, 45, 46, 49, 50, 53, 61, 65, 67, 70, 73, 78, 82, 91, 93, 97, 106, 109, 115, 133, 142, 145, 157, 163, 169, 190, 193, 202, 205, 235, 253, 265, 277, 298, 397, 403, 427, 442, 445, 505, 793

Offset: 1

Author

T. D. Noe, May 24 2004

Keywords

• nonn

Comments

It is conjectured that this sequence is complete.

Examples

			793 is in this sequence because 793 = 6^2 + 9^2 + 26^2 is the unique partition of 793.
		

Crossrefs

Cf. A094739 (n having a unique partition into three squares).

Programs

Mathematica

lim=100; nLst=Table[0, {lim^2}]; Do[n=a^2+b^2+c^2; If[n>0 && n0&]