A367335 Long leg of the only primitive Pythagorean triple whose inradius is the n-th odd prime and whose short leg is an even number.

15, 35, 63, 143, 195, 323, 399, 575, 899, 1023, 1443, 1763, 1935, 2303, 2915, 3599, 3843, 4623, 5183, 5475, 6399, 7055, 8099, 9603, 10403, 10815, 11663, 12099, 12995, 16383, 17423, 19043, 19599, 22499, 23103, 24963, 26895, 28223, 30275, 32399, 33123, 36863

Offset: 1

Author

Miguel-Ángel Pérez García-Ortega, Nov 23 2023

Keywords

• nonn
• easy

Comments

See Ejercicio 2.7. of the reference file.

Examples

			Triangles begin
    8,  15,  17;
   12,  35,  37;
   16,  63,  65;
   24, 143, 145;
   28, 195, 197;
   ...
This sequence is the middle column.
		

Links

• Miguel-Ángel Pérez García-Ortega, Capítulo 2. Inradio, El Libro de las Ternas Pitagóricas.

Crossrefs

Cf. A065091, A089241 (short leg).

Formula

a(n) = p^2 + 2*p where p = A065091(n).