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

1,1

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)

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Index entries for sequences related to sums of squares

Example

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

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

Crossrefs

Subsequence of A017101.

Cf. A004432, A016754 (odd squares).

Sequence in context: A095958 A244057 A219457 * A026064 A338244 A250764

Adjacent sequences: A343096 A343097 A343098 * A343100 A343101 A343102

Keyword

nonn

Author

Wesley Ivan Hurt, Apr 05 2021

Status

approved