cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A334983 Perimeters of Heronian triangles where the lengths of the smallest and largest sides are coprime.

Original entry on oeis.org

12, 16, 18, 30, 32, 36, 40, 42, 44, 48, 50, 54, 56, 60, 64, 66, 68, 70, 72, 76, 78, 80, 84, 90, 96, 98, 100, 104, 108, 110, 112, 114, 120, 126, 128, 130, 132, 140, 144, 150, 152, 154, 156, 160, 162, 164, 168, 170, 172, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204
Offset: 1

Views

Author

Wesley Ivan Hurt, May 18 2020

Keywords

Comments

This sequence includes the perimeters of all primitive Heronian triangles (A096468). First differs from A096468 at a(38) = 140.

Examples

			a(1) = 12; there is one Heronian triangle with perimeter 12, which is [3,4,5] and the lengths of the smallest and largest sides are coprime (GCD(3,5) = 1).
a(5) = 32; there is one Heronian triangle with perimeter 32, [4,13,15] and the lengths of the smallest and middle sides are coprime (GCD(4,13) = 1).

Links

Crossrefs

Cf. A051518, A096468, A334984, A334989.

A334989 Perimeters of Heronian triangles where the lengths of the smallest and middle sides are coprime.

Original entry on oeis.org

12, 30, 32, 36, 40, 42, 44, 48, 50, 54, 56, 60, 64, 66, 68, 70, 72, 76, 78, 80, 84, 90, 96, 98, 100, 104, 108, 110, 112, 114, 120, 126, 128, 130, 132, 136, 140, 144, 150, 152, 154, 156, 160, 162, 164, 168, 170, 172, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204
Offset: 1

Views

Author

Wesley Ivan Hurt, May 18 2020

Keywords

Comments

This sequence includes the perimeters of all primitive Heronian triangles (A096468). First differs from A096468 at a(2) = 30.

Examples

			a(1) = 12; there is one Heronian triangle with perimeter 12, which is [3,4,5] and the lengths of the smallest and middle sides are coprime (GCD(3,4) = 1).
a(3) = 32; there is one Heronian triangle with perimeter 32, [4,13,15] and the lengths of the smallest and middle sides are coprime (GCD(4,13) = 1).

Links

Crossrefs

Cf. A051518, A096468, A334983, A334984.
Showing 1-2 of 2 results.

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