A334755 -id:A334755 - cp's OEIS frontend

A334753 Sum of the lengths of the short legs of all Pythagorean triangles with perimeter A010814(n).

3, 6, 5, 9, 8, 12, 7, 25, 20, 18, 16, 33, 24, 24, 27, 14, 74, 28, 44, 40, 52, 25, 33, 39, 32, 87, 48, 93, 13, 48, 36, 40, 51, 39, 95, 54, 20, 28, 57, 65, 163, 155, 60, 88, 72, 69, 171, 44, 104, 125, 17, 66, 102, 64, 81, 143, 174, 51, 87, 100, 96, 258, 26, 93, 85, 84, 19, 96

Offset: 1

Wesley Ivan Hurt, May 10 2020

nonn

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

Wikipedia, Integer Triangle
Index entries related to Pythagorean Triples.

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

Cf. A334755 (sum of longest legs), A334757 (sum of hypotenuses).

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

Original entry on oeis.org

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

Wesley Ivan Hurt, May 10 2020

nonn

			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.

Wikipedia, Integer Triangle
Index entries related to Pythagorean Triples.

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

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

cp's OEIS Frontend

A334753 Sum of the lengths of the short legs of all Pythagorean triangles with perimeter A010814(n).

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