A290275 Numbers that are the sum of distinct odd positive squares.

1, 9, 10, 25, 26, 34, 35, 49, 50, 58, 59, 74, 75, 81, 82, 83, 84, 90, 91, 106, 107, 115, 116, 121, 122, 130, 131, 139, 140, 146, 147, 155, 156, 164, 165, 169, 170, 171, 178, 179, 180, 194, 195, 196, 202, 203, 204, 205, 211, 212, 218, 219, 225, 226, 227, 228, 234, 235, 236, 237, 243, 244, 250, 251, 252, 253

Offset: 1

Author

Ilya Gutkovskiy, Jul 25 2017

Keywords

• nonn

Comments

Complement of A167703.

1922 is the largest of positive integers not in this sequence.

Examples

			139 is in the sequence because 139 = 9 + 49 + 81 = 3^2 + 7^2 + 9^2.
		

Links

• Index entries for sequences related to sums of squares
• Index entries for sequences related to centered polygonal numbers

Crossrefs

Cf. A003995, A016754, A097269, A167700, A167703.

Programs

Mathematica

max = 253; f[x_] := Product[1 + x^(2 k + 1)^2, {k, 0, 10}]; Exponent[#, x] & /@ List @@ Normal[Series[f[x], {x, 0, max}]] // Rest