A119022 Inverse binomial transform of A119020, even-indexed terms only, since all odd-indexed terms are equal to zero.

1, 1, 4, 20, 154, 1302, 12672, 129558, 1462890, 17537234, 223689128, 2959757528, 40637432332, 573938538500, 8324542177200, 123276663007740, 1861540558106490, 28613268804680010, 447616821726181800

Offset: 0

Author

Paul D. Hanna, May 09 2006

Keywords

• nonn

Comments

A119020 is the eigenvector of triangle A055151 of Motzkin polynomial coefficients.

Crossrefs

Cf. A119020, A119021, A000108 (Catalan).

Formula

a(n) = A119020(n)*C(2n,n)/(n+1) = A119020(n)*A000108(n).