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 A223532 #23 Aug 14 2015 21:16:22 %S A223532 1,1,6,7,84,36,91,1638,1404,216,1729,41496,53352,16416,1296,43225, %T A223532 1296750,2223000,1026000,162000,7776,1339975,48239100,103369500, %U A223532 63612000,15066000,1446336,46656,49579075,2082321150,5354540100,4118877000,1300698000,187300512 %N A223532 Triangle S(n,k) by rows: coefficients of 6^(n/2)*(x^(5/6)*d/dx)^n when n=0,2,4,6,... %H A223532 U. N. Katugampola, <a href="http://authors.elsevier.com/a/1QhUNLvMg0Zs~">Mellin Transforms of Generalized Fractional Integrals and Derivatives</a>, Appl. Math. Comput. 257(2015) 566-580. %H A223532 U. N. Katugampola, <a href="http://arxiv.org/abs/1411.5229">Existence and Uniqueness results for a class of Generalized Fractional Differential Equations</a>, arXiv preprint arXiv:1411.5229, 2014 %e A223532 Triangle begins: %e A223532 1; %e A223532 1, 6; %e A223532 7, 84, 36; %e A223532 91, 1638, 1404, 216; %e A223532 1729, 41496, 53352, 16416, 1296; %e A223532 43225, 1296750, 2223000, 1026000, 162000, 7776; %e A223532 1339975, 48239100, 103369500, 63612000, 15066000, 1446336, 46656; %e A223532 49579075, 2082321150, 5354540100, 4118877000, 1300698000, 187300512, 12083904, 279936; %p A223532 a[0]:= f(x): %p A223532 for i from 1 to 20 do %p A223532 a[i] := simplify(6^((i+1)mod 2)*x^((4((i+1)mod 2)+1)/6)*(diff(a[i-1],x$1 ))); %p A223532 end do: %p A223532 for j from 1 to 10 do %p A223532 b[j]:=a[2j]; %p A223532 end do; %Y A223532 Even rows of A223172. %Y A223532 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532. %K A223532 nonn,tabl %O A223532 1,3 %A A223532 _Udita Katugampola_, Mar 23 2013