login
Riordan array (f(x^2), x*f(x^2)) where f(x) is the g.f. of A001764.
0

%I #3 Sep 08 2013 13:31:52

%S 1,0,1,1,0,1,0,2,0,1,3,0,3,0,1,0,7,0,4,0,1,12,0,12,0,5,0,1,0,30,0,18,

%T 0,6,0,1,55,0,55,0,25,0,7,0,1,0,143,0,88,0,33,0,8,0,1,273,0,273,0,130,

%U 0,42,0,9,0,1,0,728,0,455,0,182,0,52,0,10,0,1,1428,0,1428,0,700,0,245,0

%N Riordan array (f(x^2), x*f(x^2)) where f(x) is the g.f. of A001764.

%C Another version of A110616. Riordan production matrix is: (x/(1-x^2), 1/(1-x^2)).

%F Sum_{k, 0<=k<=n} T(n,k)= A047749(n+1).

%e Triangle begins : 1 ; 0,1 ; 1,0,1 ; 0,2,0,1 ; 3,0,3,0,1 ; 0,7,0,4,0,1 ; 12,0,12,0,5,0,1 ; ...

%Y Cf. A047749, A092276, A143603

%K nonn,tabl

%O 0,8

%A _Philippe Deléham_, Jan 23 2010