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

1,2

Comments

Complement of A167703.

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

Links

Table of n, a(n) for n=1..66.

Index entries for sequences related to sums of squares

Index entries for sequences related to centered polygonal numbers

Example

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

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

Crossrefs

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

Sequence in context: A326464 A174042 A263261 * A156787 A025043 A320728

Adjacent sequences: A290272 A290273 A290274 * A290276 A290277 A290278

Keyword

nonn

Author

Ilya Gutkovskiy, Jul 25 2017

Status

approved