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 A223528 #24 Aug 14 2015 21:15:04 %S A223528 1,1,4,5,40,16,45,540,432,64,585,9360,11232,3328,256,9945,198900, %T A223528 318240,141440,21760,1024,208845,5012280,10024560,5940480,1370880, %U A223528 129024,4096,5221125,146191500,350859600,259896000,79968000,11289600,716800,16384,151412625 %N A223528 Triangle S(n,k) by rows: coefficients of 4^(n/2)*(x^(3/4)*d/dx)^n when n=0,2,4,6,... %H A223528 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 A223528 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 A223528 Triangle begins: %e A223528 1; %e A223528 1, 4; %e A223528 5, 40, 16; %e A223528 45, 540, 432, 64; %e A223528 585, 9360, 11232, 3328, 256; %e A223528 9945, 198900, 318240, 141440, 21760, 1024; %e A223528 208845, 5012280, 10024560, 5940480, 1370880, 129024, 4096; %e A223528 5221125, 146191500, 350859600, 259896000, 79968000, 11289600, 716800, 16384; %e A223528 151412625, 4845204000, 13566571200, 12059174400, 4638144000, 873062400, 83148800, 3801088, 65536; %p A223528 a[0]:= f(x): %p A223528 for i from 1 to 20 do %p A223528 a[i] := simplify(4^((i+1)mod 2)*x^((2((i+1)mod 2)+1)/4)*(diff(a[i-1],x$1 ))); %p A223528 end do: %p A223528 for j from 1 to 10 do %p A223528 b[j]:=a[2j]; %p A223528 end do; %Y A223528 Even rows of A223170. %Y A223528 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532. %K A223528 nonn,tabl %O A223528 1,3 %A A223528 _Udita Katugampola_, Mar 23 2013