A331264 - OEIS

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A331264

Largest possible side length, c, of a primitive Heronian triangle with perimeter A096468(n), such that a <= b <= c.

5, 6, 8, 13, 15, 17, 17, 20, 20, 21, 24, 26, 25, 29, 30, 30, 26, 29, 35, 37, 37, 39, 41, 41, 44, 48, 44, 51, 53, 52, 53, 51, 56, 53, 61, 50, 65, 65, 68, 70, 74, 73, 75, 75, 75, 80, 73, 77, 75, 68, 85, 87, 89, 89, 87, 87, 95, 97, 97, 97, 101, 101, 104, 97, 109, 87, 111

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

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..67.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

EXAMPLE

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

a(6) = 17; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13] with longest side lengths 17 and 13. The largest of these is 17.

CROSSREFS

Cf. A096468.

Cf. A331210, A331263.

Sequence in context: A188054 A276374 A184803 * A096467 A334120 A323041

Adjacent sequences: A331261 A331262 A331263 * A331265 A331266 A331267

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 03 2020

STATUS

approved