A025324 Numbers that are the sum of 3 nonzero squares in exactly 4 ways.

129, 134, 146, 153, 161, 171, 189, 198, 201, 234, 243, 246, 249, 251, 254, 257, 261, 270, 278, 285, 290, 293, 294, 299, 339, 353, 362, 363, 365, 371, 378, 387, 390, 393, 395, 405, 406, 409, 411, 417, 429, 451, 454, 465, 467, 469, 473, 477, 485, 501, 502, 510, 514, 516

Offset

1,1

Links

David A. Corneth, Table of n, a(n) for n = 1..1705 (first 593 terms from Robert Price, terms <= 2*10^6)

David A. Corneth, Terms below (inclusive) 2*10^6 with the sums of squares

David A. Corneth, PARI program

Eric Weisstein's World of Mathematics, Square Number.

Index entries for sequences related to sums of squares

Example

299 is a term because 299 = 1^2 + 3^2 + 17^2 = 3^2 + 11^2 + 13^2 = 5^2 + 7^2 + 15^2 = 7^2 + 9^2 + 13^2 and there are no more such sums of four nonzero squares giving 182. - David A. Corneth, Feb 13 2019

Mathematica

Select[Range@ 600, Length@ # == 4 &@ DeleteCases[PowersRepresentations[#, 3, 2], _?(AnyTrue[#, # == 0 &] &)] &] (* Michael De Vlieger, Feb 13 2019 *)

Prog

(PARI) \\ See Corneth link \\ David A. Corneth, Feb 13 2019

Crossrefs

Cf. A024796, A025427, A025322, A025323, A025324, A025325, A025326, A025327, A025328, A025329, A025330, A025331, A025332, A025333, A025334, A025335, A025336, A025337, A025338.

Sequence in context: A337068 A298720 A025332 * A230092 A060878 A127337

Adjacent sequences: A025321 A025322 A025323 * A025325 A025326 A025327

Keyword

nonn

Author

David W. Wilson

Status

approved