A343099 Sums of 3 distinct odd squares.

35, 59, 75, 83, 91, 107, 115, 131, 139, 147, 155, 171, 179, 195, 203, 211, 219, 227, 235, 243, 251, 259, 275, 283, 291, 299, 307, 315, 323, 331, 339, 347, 355, 363, 371, 379, 387, 395, 403, 411, 419, 427, 435, 443, 451, 459, 467, 475, 483, 491, 499, 507, 515, 523, 531

Offset: 1

Author

Wesley Ivan Hurt, Apr 05 2021

Keywords

• nonn

Comments

From Robert Israel, Apr 06 2021: (Start)

All terms == 3 (mod 8).

Conjecture: contains all numbers == 3 (mod 8) except 3, 11, 19, 27, 43, 51, 67, 99, 123, 163, 187, 267, 627. (End)

Examples

			107 is in the sequence since 107 = 1^2 + 5^2 + 9^2.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to sums of squares

Crossrefs

Subsequence of A017101.

Cf. A004432, A016754 (odd squares).

Programs

Maple

N:= 10^4: # for terms <= N
S:= {seq(seq(seq(x^2+y^2+z^2, z = 1 .. min(y-2, floor(sqrt(N-x^2-y^2))), 2),y = 1 .. min(x-2, floor(sqrt(N-x^2))), 2), x = 1 .. floor(sqrt(N)),2)}:
sort(convert(S,list)); # Robert Israel, Apr 05 2021