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

0,8

Comments

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

Links

Table of n, a(n) for n=0..85.

Formula

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

Example

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

Sequence in context: A263406 A257230 A357136 * A296046 A060318 A246061

Adjacent sequences: A172023 A172024 A172025 * A172027 A172028 A172029

Keyword

nonn,tabl

Author

Philippe Deléham, Jan 23 2010

Status

approved