A334920 - OEIS

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A334920

Sum of the even side lengths of all primitive Heronian triangles with perimeter A096468(n).

4, 6, 8, 12, 4, 20, 8, 34, 20, 10, 40, 58, 24, 6, 74, 30, 26, 48, 8, 20, 26, 46, 112, 116, 44, 226, 104, 80, 180, 52, 148, 38, 56, 28, 176, 50, 250, 20, 134, 178, 278, 60, 166, 172, 84, 506, 50, 40, 34, 68, 60, 296, 50, 194, 130, 106, 372, 494, 148, 228, 252, 158, 552, 224

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..64.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

EXAMPLE

a(1) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its even side length is 4.

a(6) = 20; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the even side lengths is 10 + 10 = 20.

CROSSREFS

Cf. A096468, A334927.

Sequence in context: A351415 A139404 A334927 * A014455 A320136 A320135

Adjacent sequences: A334917 A334918 A334919 * A334921 A334922 A334923

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 16 2020

STATUS

approved