

A330923


Largest possible side length, b, of a Heronian triangle with perimeter A051518(n), such that a <= b <= c.


2



4, 5, 5, 8, 12, 13, 13, 15, 15, 13, 17, 17, 25, 24, 25, 29, 25, 25, 25, 29, 20, 26, 30, 35, 26, 40, 39, 40, 41, 40, 51, 33, 48, 38, 50, 45, 58, 41, 60, 51, 65, 65, 61, 60, 56, 68, 65, 75, 50, 72, 61, 61, 60, 74, 80, 84, 68, 65, 87, 89, 90, 82, 87, 80, 89, 102, 100, 74
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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) = 4; there is one Heronian triangle with perimeter A051518(1) = 12, which is [3,4,5] and its middle side is 4.
a(6) = 13; there are two Heronian triangles with perimeter A051518(6) = 32, [4,13,15] and [10,10,12], whose middle side lengths are 13 and 10. The largest of these is 13.


CROSSREFS

Cf. A051516, A051518, A070138, A096468, A298079, A298614, A305717.
Cf. A330912, A330915, A330916, A330921.
Cf. A330917, A331199.
Sequence in context: A070783 A198334 A055593 * A330915 A268604 A246823
Adjacent sequences: A330920 A330921 A330922 * A330924 A330925 A330926


KEYWORD

nonn


AUTHOR

Wesley Ivan Hurt, May 03 2020


STATUS

approved



