cp's OEIS Frontend

A223519 Triangle T(n,k) represents the coefficients of (x^17*d/dx)^n, where n=1,2,3,...

%I A223519 #10 Apr 23 2018 19:00:33
%S A223519 1,17,1,561,51,1,27489,3111,102,1,1786785,232815,9945,170,1,144729585,
%T A223519 20877615,1058250,24225,255,1,14038769745,2190735855,125644365,
%U A223519 3480750,49980,357,1,1586380981185,263782657215,16639837830,529411365,9328410,92106,476,1
%N A223519 Triangle T(n,k) represents the coefficients of (x^17*d/dx)^n, where n=1,2,3,...
%C A223519 Generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.
%e A223519 1;
%e A223519 17,1;
%e A223519 561,51,1;
%e A223519 27489,3111,102,1;
%e A223519 1786785,232815,9945,170,1;
%e A223519 144729585,20877615,1058250,24225,255,1;
%e A223519 14038769745,2190735855,125644365,3480750,49980,357,1;
%e A223519 1586380981185,263782657215,16639837830,529411365,9328410,92106,476,1;
%p A223519 b[0]:=f(x):
%p A223519 for j from 1 to 10 do
%p A223519 b[j]:=simplify(x^17*diff(b[j-1],x$1);
%p A223519 end do;
%Y A223519 Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.
%K A223519 nonn,easy,tabl
%O A223519 1,2
%A A223519 _Udita Katugampola_, Mar 23 2013