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A330874 Sum of the smallest side lengths of all primitive Heronian triangles with perimeter A096468(n). 2
3, 5, 5, 5, 4, 19, 8, 20, 11, 10, 29, 28, 7, 6, 36, 11, 17, 37, 8, 19, 15, 29, 69, 47, 15, 133, 64, 38, 71, 25, 100, 25, 25, 28, 97, 39, 132, 20, 46, 84, 142, 19, 103, 93, 67, 242, 41, 40, 34, 43, 29, 179, 41, 76, 70, 95, 267, 301, 69, 192, 119, 68, 178, 136, 99, 61, 201, 218 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..68.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

EXAMPLE

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

a(6) = 19; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the smallest side lengths is then 9 + 10 = 19.

CROSSREFS

Cf. A096468, A334018, A334120.

Sequence in context: A307447 A016658 A331210 * A338058 A335138 A343691

Adjacent sequences:  A330871 A330872 A330873 * A330875 A330876 A330877

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 16 2020

STATUS

approved

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Last modified July 27 15:49 EDT 2021. Contains 346308 sequences. (Running on oeis4.)