A355812 Values t of the solutions to 1/s^2 + 1/t^2 = 1/p^2 + 1/q^2 where p,q < t.

35, 55, 56, 63, 70, 72, 80, 85, 90, 105, 110, 112, 117, 120, 126, 140, 144, 152, 154, 156, 160, 165, 168, 170, 175, 176, 180, 182, 189, 203, 208, 210, 216, 220, 221, 224, 231, 234, 240, 245, 252, 255, 270, 275, 280, 286, 288, 297, 304, 306, 308, 312, 315, 320, 330, 336

Offset

1,1

Links

Jianing Song, Table of n, a(n) for n = 1..307 (all terms <= 1500)

Example

1/5^2 + 1/35^2 = 1/7^2 + 1/7^2, so 35 is a term.
1/10^2 + 1/55^2 = 1/11^2 + 1/22^2, so 55 is a term.

Prog

(PARI) isA355812(n) = for(p=1, n-1, for(q=1, n-1, r=1/(1/p^2+1/q^2-1/n^2); if(r==r\1 && issquare(r), return(1)))); return(0)

Crossrefs

Cf. A355813, A355814.

Sequence in context: A039312 A043915 A359448 * A318572 A171082 A340269

Adjacent sequences: A355809 A355810 A355811 * A355813 A355814 A355815

Keyword

nonn

Author

Jianing Song, Jul 18 2022

Status

approved