A360020 Irregular triangle T(n, k), n > 0, k = 1..A056137(A009023(n)), read by rows: T(n, k) is the square root of A009023(n)^2 + A359805(n, k)^2.

5, 10, 13, 15, 17, 20, 25, 29, 25, 26, 30, 35, 34, 40, 37, 39, 45, 41, 50, 58, 55, 51, 53, 50, 52, 60, 65, 73, 65, 70, 61, 65, 68, 75, 65, 87, 80, 85, 74, 75, 78, 90, 97, 85, 95, 85, 82, 89, 100, 85, 91, 105, 116, 110, 102, 106, 109, 115, 100, 104, 120, 101

Offset

1,1

Links

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

Index entries related to Pythagorean Triples

Formula

T(n, k) = A000196(A009023(n)^2 + A359805(n, k)^2).

Example

Triangle T(n, k) begins:
  n   A009023(n)  n-th row
  --  ----------  ----------
   1           4  5
   2           8  10
   3          12  13, 15
   4          15  17
   5          16  20
   6          20  25
   7          21  29
   8          24  25, 26, 30
   9          28  35
  10          30  34
  11          32  40
  12          35  37
  13          36  39, 45
  14          40  41, 50

Prog

(PARI) { for (n=1, 99, for (m=1, n-1, if (issquare(n^2 + m^2, &h), print1 (h", ")))) }

Crossrefs

Cf. A000196, A009023, A056137, A359805.

Sequence in context: A071821 A334678 A201012 * A334757 A209922 A084645

Adjacent sequences: A360017 A360018 A360019 * A360021 A360022 A360023

Keyword

nonn,look,tabf

Author

Rémy Sigrist, Mar 08 2023

Status

approved