cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A308222 Numbers that are the perimeter of a primitive Heronian isosceles triangle.

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%I A308222 #20 Aug 12 2022 09:19:13
%S A308222 16,18,36,50,64,98,100,144,162,196,242,256,324,338,400,450,484,576,
%T A308222 578,676,722,784,882,900,1024,1058,1156,1250,1296,1444,1458,1600,1682,
%U A308222 1764,1922,1936,2116,2178,2304,2450,2500,2704,2738,2916,3042,3136
%N A308222 Numbers that are the perimeter of a primitive Heronian isosceles triangle.
%C A308222 A primitive Heronian triangle is a triangle with integer sides and area, where the side lengths do not share a common divisor.
%H A308222 Mathematics Stack Exchange user "George", <a href="https://math.stackexchange.com/a/3230072/121988">Semiperimeter of isosceles Heronian triangles</a>.
%H A308222 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle#Isosceles_Heronian_triangles">Isosceles Heronian triangles</a>.
%F A308222 a(n) = 2*A096033(n+2) (conjectured).
%e A308222 Table illustrating first six terms of the sequence:
%e A308222   perimeter |   sides    | area
%e A308222   ----------+------------+-----
%e A308222       16    |  (5,5,6)   |  12
%e A308222       18    |  (5,5,8)   |  12
%e A308222       36    | (10,13,13) |  60
%e A308222       50    | (13,13,24) |  60
%e A308222       50    | (16,17,17) | 120
%e A308222       64    | (14,25,25) | 168
%e A308222       64    | (17,17,30) | 120
%e A308222       98    | (24,37,37) | 420
%e A308222       98    | (25,25,48) | 168
%e A308222       98    | (29,29,40) | 420
%Y A308222 Cf. A046790, A096033, A096468.
%K A308222 nonn
%O A308222 1,1
%A A308222 _Peter Kagey_, May 16 2019