cp's OEIS Frontend

A171486 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A033321.

%I A171486 #10 Sep 08 2013 19:59:25
%S A171486 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 A171486 1,1265,900,465,205,80,27,7,1,5275,3720,1910,840,330,116,35,8,1,22431,
%U A171486 15713,8034,3532,1396,501,161,44,9,1,96900,67522,34419,15136,6015,2190
%N A171486 Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A033321.
%C A171486 Equal to B*A065600 = A171224*B where B = A007318 ; equal to B*A039598*B^(-2).
%F A171486 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 A171486 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 A171486 Triangle begins :
%e A171486 1
%e A171486 1, 1
%e A171486 2, 2, 1
%e A171486 6, 5, 3, 1
%e A171486 21, 16, 9, 4, 1
%e A171486 79, 58, 31, 14, 5, 1
%e A171486 311, 224, 117, 52, 20, 6, 1
%Y A171486 Cf. A171224, A104259, A091965
%K A171486 nonn,tabl
%O A171486 0,4
%A A171486 _Philippe Deléham_, Dec 09 2009