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

%S 1,1,1,2,2,1,6,5,3,1,21,16,9,4,1,79,58,31,14,5,1,311,224,117,52,20,6,

%T 1,1265,900,465,205,80,27,7,1,5275,3720,1910,840,330,116,35,8,1,22431,

%U 15713,8034,3532,1396,501,161,44,9,1,96900,67522,34419,15136,6015,2190

%N Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A033321.

%C Equal to B*A065600 = A171224*B where B = A007318 ; equal to B*A039598*B^(-2).

%F Sum_{k, 0<=k<=n} T(n,k)*x^k = A117641(n), A033321(n), A007317(n+1), A002212(n+1), A026378(n+1) for x = -1, 0, 1, 2, 3 respectively.

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

%e Triangle begins :

%e 1

%e 1, 1

%e 2, 2, 1

%e 6, 5, 3, 1

%e 21, 16, 9, 4, 1

%e 79, 58, 31, 14, 5, 1

%e 311, 224, 117, 52, 20, 6, 1

%Y Cf. A171224, A104259, A091965

%K nonn,tabl

%O 0,4

%A _Philippe Deléham_, Dec 09 2009