A334757 Sum of the lengths of the hypotenuses of all Pythagorean triangles with perimeter A010814(n).

5, 10, 13, 15, 17, 20, 25, 51, 29, 30, 34, 72, 80, 40, 45, 50, 153, 53, 116, 58, 125, 65, 65, 65, 68, 219, 73, 235, 85, 80, 85, 85, 85, 89, 178, 90, 101, 100, 95, 97, 419, 322, 109, 232, 240, 115, 360, 125, 250, 255, 145, 130, 275, 136, 135, 280, 438, 149, 145, 145, 146, 623

Offset

1,1

Links

Table of n, a(n) for n=1..62.

Wikipedia, Integer Triangle

Index entries related to Pythagorean Triples.

Example

a(1) = 4; There is one integer-sided right triangle with perimeter A010814(1) = 12, [3,4,5] with hypotenuse 5.
a(2) = 8; There is one integer-sided right triangle with perimeter A010814(2) = 24, [6,8,10] with hypotenuse 10.

Crossrefs

Cf. A005044, A010814, A334607, A334678, A334717.

Cf. A334753 (sum of short legs), A334755 (sum of long legs).

Sequence in context: A334678 A201012 A360020 * A209922 A084645 A343113

Adjacent sequences: A334754 A334755 A334756 * A334758 A334759 A334760

Keyword

nonn

Author

Wesley Ivan Hurt, May 10 2020

Status

approved