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 A223529 #20 Jan 10 2024 15:59:50 %S A223529 1,6,5,66,110,25,1056,2640,1200,125,22176,73920,50400,10500,625, %T A223529 576576,2402400,2184000,682500,81250,3125,17873856,89369280,101556000, %U A223529 42315000,7556250,581250,15625,643458816,3753509760,5118422400,2665845000,634725000 %N A223529 Triangle S(n,k) by rows: coefficients of 5^((n-1)/2)*(x^(1/5)*d/dx)^n when n=1,3,5,... %H A223529 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 A223529 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 A223529 Triangle begins: %e A223529 1; %e A223529 6, 5; %e A223529 66, 110, 25; %e A223529 1056, 2640, 1200, 125; %e A223529 22176, 73920, 50400, 10500, 625; %e A223529 576576, 2402400, 2184000, 682500, 81250, 3125; %e A223529 17873856, 89369280, 101556000, 42315000, 7556250, 581250, 15625; %e A223529 643458816, 3753509760, 5118422400, 2665845000, 634725000, 73237500, 3937500, 78125; %p A223529 a[0]:= f(x): %p A223529 for i from 1 to 20 do %p A223529 a[i] := simplify(5^((i+1)mod 2)*x^((3((i+1)mod 2)+1)/5)*(diff(a[i-1],x$1 ))); %p A223529 end do: %p A223529 for j from 1 to 10 do %p A223529 b[j]:=a[2j-1]; %p A223529 end do; %Y A223529 Odd rows of A223171. %Y A223529 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532. %K A223529 nonn,tabl %O A223529 1,2 %A A223529 _Udita Katugampola_, Mar 23 2013