A359805 Irregular triangle T(n, k), n > 0, k = 1..A056137(A009023(n)), read by rows: the n-th row contains the numbers m < A009023(n) such that A009023(n)^2 + m^2 is a square.

3, 6, 5, 9, 8, 12, 15, 20, 7, 10, 18, 21, 16, 24, 12, 15, 27, 9, 30, 40, 33, 24, 28, 14, 20, 36, 39, 48, 33, 42, 11, 25, 32, 45, 16, 60, 48, 51, 24, 21, 30, 54, 65, 40, 57, 36, 18, 39, 60, 13, 35, 63, 80, 66, 48, 56, 60, 69, 28, 40, 72, 20, 75, 78, 36, 56, 88, 100

Offset

1,1

Comments

See A360020 for the corresponding hypotenuses.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10011

Index entries related to Pythagorean Triples

Example

Triangle T(n, k) begins:
  n   A009023(n)  n-th row
  --  ----------  ---------
   1           4  3
   2           8  6
   3          12  5, 9
   4          15  8
   5          16  12
   6          20  15
   7          21  20
   8          24  7, 10, 18
   9          28  21
  10          30  16
  11          32  24
  12          35  12
  13          36  15, 27
  14          40  9, 30

Prog

(PARI) { for (n=1, 105, for (m=1, n-1, if (issquare(n^2+m^2), print1 (m", ")))) }

Crossrefs

Cf. A009023, A056137, A360020.

Sequence in context: A334753 A350057 A046083 * A310127 A310128 A310129

Adjacent sequences: A359802 A359803 A359804 * A359806 A359807 A359808

Keyword

nonn,look,tabf

Author

Rémy Sigrist, Mar 08 2023

Status

approved