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A290275
Numbers that are the sum of distinct odd positive squares.
1
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.
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
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jul 25 2017
STATUS
approved