%I #3 Mar 30 2012 16:49:03

%S 1,1,1,1,2,2,1,3,5,5,1,4,9,16,15,1,5,14,35,59,55,1,6,20,64,152,258,

%T 239,1,7,27,105,319,767,1296,1199,1,8,35,160,590,1820,4356,7362,6810,

%U 1,9,44,231,1000,3751,11514,27583,46609,43108,1,10,54,320,1589

%N Triangle T(n,k), 0<=k<=n, giving coefficients when output sequence O_0, O_1, O_2, ... from transformation described in A059216 is expressed in terms of input sequence I_0, I_1, I_2, ...

%e 1; 1,1; 1,2,2; 1,3,5,5; 1,4,9,16,15; ... For example, O_4 = I_4 + 4*I_3 + 9*I_2 + 16*I_1 + 15*I_0.

%Y Cf. A059720, A059216.

%K nonn,tabl

%O 0,5

%A _N. J. A. Sloane_, Feb 08 2001