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 A181415 #10 May 17 2016 08:31:41 %S A181415 1,1,1,1,6,2,1,12,9,36,6,1,20,40,120,180,240,24,1,30,75,50,300,1200, %T A181415 300,1200,2700,1800,120,1,42,126,210,630,3150,2100,3150,4200,25200, %U A181415 12600,12600,37800,15120,720,1,56,196,392,245,1176,7056,11760,8820,11760,11760,88200 %N A181415 Irregular triangle a(n,k) = A049009(n,k)/n, read by rows 1<=k<=A000041(n). %F A181415 Sum_{k=1.. A000041(n)} a(n,k) = A000169(n). (Row sums) %F A181415 a(n,k) = A098546(n,k) *A049019(n,k) /n. - Compare with the formula in A101818. %e A181415 Row three is calculated as follows: %e A181415 ( 3 18 6) divided by (3 3 3) yielding (1 6 2) %e A181415 1; %e A181415 1,1; %e A181415 1,6,2; %e A181415 1,12,9,36,6; %e A181415 1,20,40,120,180,240,24; %e A181415 1,30,75,50,300,1200,300,1200,2700,1800,120; %e A181415 1,42,126,210,630,3150,2100,3150,4200,25200,12600,12600,37800,15120,720; %Y A181415 Cf. A000169 (row sums), A000081 (unlabeled rooted trees) A179438 (a similar refinement), A054589, A135278, A019538, A101817, A101818 %K A181415 nonn,tabf %O A181415 1,5 %A A181415 _Alford Arnold_, Oct 20 2010 %E A181415 Edited by _R. J. Mathar_, May 17 2016