A187442 A trisection of A001405 (central binomial coefficients): binomial(3*n,floor(3*n/2)), n>=0.

1, 3, 20, 126, 924, 6435, 48620, 352716, 2704156, 20058300, 155117520, 1166803110, 9075135300, 68923264410, 538257874440, 4116715363800, 32247603683100, 247959266474052, 1946939425648112, 15033633249770520, 118264581564861424

Offset: 0

Author

Wolfdieter Lang, Mar 10 2011

Keywords

• nonn
• easy

Comments

For the trisection of sequences see a comment and a reference under A187357.

Crossrefs

A187443 binomial(3*n+1,floor((3*n+1)/2)),

A187444 binomial(3*n+2,floor((3*n+2)/2))/2.

Programs

Mathematica

Table[Binomial[3n,Floor[(3n)/2]],{n,0,20}] (* Harvey P. Dale, Dec 23 2012 *)

Formula

a(n) = binomial(3*n,floor(3*n/2)), n>=0.

O.g.f.: G0(x^2) + 3*x*G2(x^2) with G0(x) and G2(x) the o.g.f.s of A187363 and A187365, respectively.