A166337 a(n)=(2n+0^n)*C(4n,2n).

1, 12, 280, 5544, 102960, 1847560, 32449872, 561632400, 9617286240, 163352435400, 2756930576400, 46290177201840, 773942488394400, 12893881856650704, 214163336821292320, 3547937446945842720

Offset: 0

Author

Paul Barry, Oct 12 2009

Keywords

• easy
• nonn

Comments

The aerated sequence gives the central coefficients in number triangle A166335.

Links

• Richard P. Brent, Hideyuki Ohtsuka, Judy-anne H. Osborn, and Helmut Prodinger, Some Binomial Sums Involving Absolute Values, JIS vol 19 (2016) # 16.3.7 (24)

Programs

Mathematica

Join[{1},Table[(2n)*Binomial[4n,2n],{n,20}]] (* Harvey P. Dale, Jan 21 2015 *)

Formula

D-finite with recurrence (2*n-1)*(n-1)*a(n) -2*(4*n-1)*(4*n-3)*a(n-1)=0. - R. J. Mathar, Feb 27 2023