A009096 Ordered perimeters of Pythagorean triangles, listed with multiplicity.

12, 24, 30, 36, 40, 48, 56, 60, 60, 70, 72, 80, 84, 84, 90, 90, 96, 108, 112, 120, 120, 120, 126, 132, 132, 140, 144, 144, 150, 154, 156, 160, 168, 168, 168, 176, 180, 180, 180, 182, 192, 198, 200, 204, 208, 210, 210, 216, 220, 224, 228, 234, 240, 240, 240, 240, 252, 252

Offset

1,1

Links

Table of n, a(n) for n=1..58.

Ron Knott, Pythagorean Triples and Online Calculators

Index entries related to Pythagorean Triples.

Formula

a(n) = A103605(3n) + A103605(3n-1) + A103605(3n-2). - M. F. Hasler, Jul 04 2025

Example

The perimeters are listed with multiplicity, for example a(8) = a(9) = 60 = 15 + 20 + 25 = 10 + 24 + 26. - M. F. Hasler, Jul 04 2025

Crossrefs

Cf. A103605 (the corresponding triples), A024364 (perimeters of primitive Pythagorean triangles).

Sequence in context: A333919 A289484 A027854 * A010814 A334760 A098714

Adjacent sequences: A009093 A009094 A009095 * A009097 A009098 A009099

Keyword

nonn

Author

David W. Wilson

Extensions

Name clarified by M. F. Hasler, Jul 04 2025

Status

approved