cp's OEIS Frontend

A360020 Irregular triangle T(n, k), n > 0, k = 1..A056137(A009023(n)), read by rows: T(n, k) is the square root of A009023(n)^2 + A359805(n, k)^2.

%I A360020 #13 Mar 13 2023 05:52:07
%S A360020 5,10,13,15,17,20,25,29,25,26,30,35,34,40,37,39,45,41,50,58,55,51,53,
%T A360020 50,52,60,65,73,65,70,61,65,68,75,65,87,80,85,74,75,78,90,97,85,95,85,
%U A360020 82,89,100,85,91,105,116,110,102,106,109,115,100,104,120,101
%N A360020 Irregular triangle T(n, k), n > 0, k = 1..A056137(A009023(n)), read by rows: T(n, k) is the square root of A009023(n)^2 + A359805(n, k)^2.
%H A360020 Rémy Sigrist, <a href="/A360020/b360020.txt">Table of n, a(n) for n = 1..10011</a>
%H A360020 <a href="/index/Ps#PyTrip">Index entries related to Pythagorean Triples</a>
%F A360020 T(n, k) = A000196(A009023(n)^2 + A359805(n, k)^2).
%e A360020 Triangle T(n, k) begins:
%e A360020   n   A009023(n)  n-th row
%e A360020   --  ----------  ----------
%e A360020    1           4  5
%e A360020    2           8  10
%e A360020    3          12  13, 15
%e A360020    4          15  17
%e A360020    5          16  20
%e A360020    6          20  25
%e A360020    7          21  29
%e A360020    8          24  25, 26, 30
%e A360020    9          28  35
%e A360020   10          30  34
%e A360020   11          32  40
%e A360020   12          35  37
%e A360020   13          36  39, 45
%e A360020   14          40  41, 50
%o A360020 (PARI) { for (n=1, 99, for (m=1, n-1, if (issquare(n^2 + m^2, &h), print1 (h", ")))) }
%Y A360020 Cf. A000196, A009023, A056137, A359805.
%K A360020 nonn,look,tabf
%O A360020 1,1
%A A360020 _Rémy Sigrist_, Mar 08 2023