A190910 a(n) = Sum{0<=k<=n} binomial(n+k,n-k) * k! / (floor(k/2)!)^2.

1, 2, 6, 23, 89, 338, 1286, 4911, 18769, 71722, 273982, 1046119, 3991913, 15222986, 58013678, 220939711, 840883777, 3198349426, 12157775958, 46188298519, 175376312729, 665552754018, 2524513742262, 9571221986607, 36271175050321

Offset: 0

Author

Peter Luschny, May 24 2011

Keywords

• nonn

Comments

Row sums of A190909.

Programs

Maple

A190910 := n -> add(binomial(n+k,n-k)*k!/iquo(k,2)!^2,k=0..n):
seq(A190910(n),n=0..24);