A171515 - OEIS

%I #10 Sep 08 2013 19:59:25

%S 1,2,1,5,4,1,16,14,6,1,62,52,27,8,1,270,213,116,44,10,1,1257,948,513,

%T 216,65,12,1,6096,4470,2376,1038,360,90,14,1,30398,21904,11468,5056,

%U 1880,556,119,16,1

%N Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A033543.

%C Equal to B^2*A039598*B^(-2), B = A007318.

%F Sum_{k, 0<=k<=n} T(n,k)*x^k = A033543(n), A064613(n), A005572(n), A005573(n) for x = 0, 1, 2, 3 respectively.

%F T(n,k) = T(n-1,k-1) + 2*T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*2^i. - _Philippe Deléham_, Feb 23 2012

%e Triangle begins : 1 ; 2,1 : 5,4,1 ; 16,14,6,1 ; 62,52,27,8,1 ; ...

%Y Cf. A052179, A171486

%K nonn,tabl

%O 0,2

%A _Philippe Deléham_, Dec 10 2009