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A171505 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738.

%I A171505 #10 Sep 08 2013 19:59:25
%S A171505 1,3,1,10,6,1,34,29,9,1,117,128,57,12,1,405,538,309,94,15,1,1407,2192,
%T A171505 1533,604,140,18,1,4899,8740,7179,3453,1040,195,21,1,17083,34296,
%U A171505 32278,18264,6730,1644,259,24,1,59629,132929,140790,91372,39668,11877,2443
%N A171505 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738.
%C A171505 Equal to B*A096164 = A171488*B, B=A007318.
%F A171505 Sum_{k, 0<=k<=n} T(n,k)*x^k = A005043(n), A001006(n), A005773(n+1), A059738(n) for x = -3, -2, -1, 0 respectively.
%F A171505 T(n,k) = T(n-1,k-1) + 3*T(n-1,k) + sum_{i, i>=0} T(n-1,k+1+i)*(-2)^i. - _Philippe Deléham_, Feb 23 2012
%e A171505 Triangle begins :
%e A171505 1 ;
%e A171505 3, 1 ;
%e A171505 10, 6, 1 ;
%e A171505 34, 29, 9, 1 ;
%e A171505 117, 128, 57, 12, 1 ; ...
%Y A171505 Cf. A097609, A064189, A171488, A096164
%K A171505 nonn,tabl
%O A171505 0,2
%A A171505 _Philippe Deléham_, Dec 10 2009