A380302 Area of the unique primitive Pythagorean triple whose inradius is the n-th odd prime and whose short leg is an even number.

60, 210, 504, 1716, 2730, 5814, 7980, 13800, 26970, 32736, 54834, 74046, 85140, 110544, 157410, 215940, 238266, 314364, 373176, 405150, 511920, 592620, 728910, 941094, 1061106, 1124760, 1259604, 1330890, 1481430, 2097024, 2299836, 2627934, 2743860, 3374850, 3511656, 3944154

Offset

0,1

References

Miguel Ángel Pérez García-Ortega, José Manuel Sánchez Muñoz and José Miguel Blanco Casado, El Libro de las Ternas Pitagóricas, Preprint 2025.

Links

Table of n, a(n) for n=0..35.

Miguel-Ángel Pérez García-Ortega, El Libro de las Ternas Pitagóricas

Formula

a(n) = ( A367335(n,1) * A367335(n,2) )/2.

Mathematica

a = Table[Prime[n], {n, 2, 42}]; Apply[Join, Map[{# (# + 1) (# + 2)} &, a]]

Crossrefs

Cf. A367335, A380301, A377017, A378386, A378966.

Sequence in context: A112827 A181333 A378058 * A082529 A126248 A224335

Adjacent sequences: A380299 A380300 A380301 * A380303 A380304 A380305

Keyword

nonn,easy,new

Author

Miguel-Ángel Pérez García-Ortega, Jan 19 2025

Status

approved