

A308222


Numbers that are the perimeter of a primitive Heronian isosceles triangle.


1



16, 18, 36, 50, 64, 98, 100, 144, 162, 196, 242, 256, 324, 338, 400, 450, 484, 576, 578, 676, 722, 784, 882, 900, 1024, 1058, 1156, 1250, 1296, 1444, 1458, 1600, 1682, 1764, 1922, 1936, 2116, 2178, 2304, 2450, 2500, 2704, 2738, 2916, 3042, 3136
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OFFSET

1,1


COMMENTS

A primitive Heronian triangle is a triangle with integer sides and area, where the side lengths do not share a common divisor.


LINKS

Table of n, a(n) for n=1..46.
Mathematics Stack Exchange user "George", Semiperimeter of isosceles Heronian triangles.
Wikipedia, Isosceles Heronian triangles.


FORMULA

a(n) = 2*A096033(n+2) (conjectured).


EXAMPLE

Table illustrating first six terms of the sequence:
perimeter  sides  area
++
16  (5,5,6)  12
18  (5,5,8)  12
36  (10,13,13)  60
50  (13,13,24)  60
50  (16,17,17)  120
64  (14,25,25)  168
64  (17,17,30)  120
98  (24,37,37)  420
98  (25,25,48)  168
98  (29,29,40)  420


CROSSREFS

Cf. A046790, A096033, A096468.
Sequence in context: A334586 A333917 A335248 * A278471 A223588 A358423
Adjacent sequences: A308219 A308220 A308221 * A308223 A308224 A308225


KEYWORD

nonn


AUTHOR

Peter Kagey, May 16 2019


STATUS

approved



