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

1,1

Comments

See Ejercicio 2.7. of the reference file.

Links

Table of n, a(n) for n=1..42.

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

Formula

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

Example

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

Crossrefs

Cf. A065091, A089241 (short leg).

Sequence in context: A257836 A146688 A146656 * A229108 A160497 A098271

Adjacent sequences: A367332 A367333 A367334 * A367336 A367337 A367338

Keyword

nonn,easy

Author

Miguel-Ángel Pérez García-Ortega, Nov 23 2023

Status

approved