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A223513 Triangle T(n,k) represents the coefficients of (x^11*d/dx)^n, where n=1,2,3,... 0

%I #10 Apr 23 2018 19:09:31

%S 1,11,1,231,33,1,7161,1287,66,1,293601,61215,4125,110,1,14973651,

%T 3476781,279840,10065,165,1,913392711,230534073,21106701,924000,20790,

%U 231,1,64850882481,17511845967,1771323246,89482701,2483250,38346,308,1

%N Triangle T(n,k) represents the coefficients of (x^11*d/dx)^n, where n=1,2,3,...

%C Generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

%e 1;

%e 11,1;

%e 231,33,1;

%e 7161,1287,66,1;

%e 293601,61215,4125,110,1;

%e 14973651,3476781,279840,10065,165,1;

%e 913392711,230534073,21106701,924000,20790,23,1;

%e 64850882481,17511845967,1771323246,89482701,2483250,38346,308,1;

%p b[0]:=f(x):

%p for j from 1 to 10 do

%p b[j]:=simplify(x^11*diff(b[j-1],x$1);

%p end do;

%Y Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.

%K nonn,easy,tabl

%O 1,2

%A _Udita Katugampola_, Mar 23 2013

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)