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.
%I A290502 #19 Dec 30 2019 14:34:27
%S A290502 6103515625,12207031250,18310546875,24414062500,36621093750,
%T A290502 42724609375,48828125000,54931640625,67138671875,73242187500,
%U A290502 85449218750,97656250000,109863281250,115966796875,128173828125,134277343750,140380859375,146484375000,164794921875
%N A290502 Hypotenuses for which there exist exactly 14 distinct integer triangles.
%C A290502 Numbers whose square is decomposable in 14 different ways into the sum of two nonzero squares: these are those with only one prime divisor of the form 4k+1 with multiplicity fourteen.
%H A290502 Ray Chandler, <a href="/A290502/b290502.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Hamdi Sahloul)
%F A290502 Terms are obtained by the product A004144(k)*A002144(p)^14 for k, p > 0 ordered by increasing values.
%e A290502 a(1) = 6103515625 = 5^14, a(5) = 36621093750 = 2*3*5^14, a(101) = 1171875000000 = 2^6*3*5^14.
%t A290502 r[a_]:={b, c}/.{ToRules[Reduce[0<b<c && a^2 == b^2 + c^2, {b, c}, Integers]]}; Select[Range[1171875000000], Length[r[#]] == 14 &] (* _Vincenzo Librandi_, Mar 01 2016 *)
%Y A290502 Cf. A002144, A006339, A046080, A046109, A083025.
%Y A290502 Cf. A004144 (0), A084645 (1), A084646 (2), A084647 (3), A084648 (4), A084649 (5), A097219 (6), A097101 (7), A290499 (8), A290500 (9), A097225 (10), A290501 (11), A097226 (12), A097102 (13), A290503 (15), A097238 (16), A097239 (17), A290504 (18), A290505 (19), A097103 (22), A097244 (31), A097245 (37), A097282 (40), A097626 (67).
%K A290502 nonn
%O A290502 1,1
%A A290502 _Hamdi Sahloul_, Aug 04 2017