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 A249831 #19 Sep 21 2018 22:09:28 %S A249831 1,2,1,6,1,2,6,3,2,6,30,12,1,6,6,5,60,4,3,6,30,35,10,20,1,12,30,5,280, %T A249831 70,30,5,4,60,5,35,2520,140,210,30,1,20,10,35,70,252,1260,420,210,6,5, %U A249831 30,70,70,70,2772,126,420,420,42,1,30,210,35,70,7 %N A249831 A(n,n) = 1, A(n,k) = A(n,k+1)*k / gcd(A(n,k+1),k)^2 if n>k, A(n,k) = A(n,k-1)*k / gcd(A(n,k-1),k)^2 if n<k; square array A(n,k), n>=1, k>=1, read by antidiagonals. %H A249831 Alois P. Heinz, <a href="/A249831/b249831.txt">Antidiagonals n = 1..141, flattened</a> %e A249831 Square array A(n,k) begins: %e A249831 : 1, 2, 6, 6, 30, 5, 35, 280, 2520, 252, ... %e A249831 : 1, 1, 3, 12, 60, 10, 70, 140, 1260, 126, ... %e A249831 : 2, 2, 1, 4, 20, 30, 210, 420, 420, 42, ... %e A249831 : 6, 6, 3, 1, 5, 30, 210, 420, 420, 42, ... %e A249831 : 6, 6, 12, 4, 1, 6, 42, 84, 84, 210, ... %e A249831 : 30, 30, 60, 20, 5, 1, 7, 56, 504, 1260, ... %e A249831 : 5, 5, 10, 30, 30, 6, 1, 8, 72, 180, ... %e A249831 : 35, 35, 70, 210, 210, 42, 7, 1, 9, 90, ... %e A249831 : 70, 70, 35, 105, 420, 84, 56, 8, 1, 10, ... %e A249831 : 70, 70, 35, 105, 420, 84, 504, 72, 9, 1, ... %p A249831 A:= proc(n, k) option remember; `if`(k=n, 1, %p A249831 (r-> r*k/igcd(r, k)^2)(A(n, k+`if`(n>k, 1, -1)))) %p A249831 end: %p A249831 seq(seq(A(n, 1+d-n), n=1..d), d=1..14); %t A249831 A[n_, k_] := A[n, k] = If[k == n, 1, Function[{r}, r*k/GCD[r, k]^2][A[n, k+If[n>k, 1, -1]]]]; Table[Table[A[n, 1+d-n], {n, 1, d}], {d, 1, 14}] // Flatten (* _Jean-François Alcover_, Dec 02 2014, translated from Maple *) %Y A249831 Column k=1 gives A055204(n-1) for n>1. %Y A249831 Row n=1 gives A008339(k+1). %Y A249831 Main diagonal gives: A000012. %K A249831 nonn,tabl,look %O A249831 1,2 %A A249831 _Alois P. Heinz_, Nov 06 2014