A172026 Riordan array (f(x^2), x*f(x^2)) where f(x) is the g.f. of A001764.

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, 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, 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

Offset: 0

Author

Philippe Deléham, Jan 23 2010

Keywords

• nonn
• tabl

Comments

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

Examples

			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 ; ...
		

Crossrefs

Cf. A047749, A092276, A143603

Formula

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