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

0,3

Comments

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

Links

Table of n, a(n) for n=0..18.

Formula

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

Crossrefs

Cf. A119020, A119021, A000108 (Catalan).

Sequence in context: A167018 A094070 A335627 * A006682 A115852 A058381

Adjacent sequences: A119019 A119020 A119021 * A119023 A119024 A119025

Keyword

nonn

Author

Paul D. Hanna, May 09 2006

Status

approved