A190909 -id:A190909 - cp's OEIS frontend

A190854 Integers in (-2+A190809)/3; contains A190809 as a proper subsequence.

1, 2, 4, 5, 6, 8, 10, 14, 16, 17, 18, 20, 22, 26, 28, 32, 34, 40, 42, 44, 50, 52, 53, 56, 58, 62, 64, 66, 68, 70, 74, 80, 82, 86, 88, 90, 98, 100, 104, 106, 112, 114, 122, 124, 128, 130, 134, 136, 138, 152, 158, 160, 161, 162, 170, 172, 176, 178, 188, 194, 196, 200, 202, 206, 208, 210, 212, 214, 224, 226, 234, 242, 244, 248, 250, 256

Offset: 1

Clark Kimberling, May 25 2011

nonn

See A190803.

Cf. A190803, A190909, A190853.

Mathematica
```
(See A190809.)
```

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

Original entry on oeis.org

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

Peter Luschny, May 24 2011

nonn

Row sums of A190909.

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

cp's OEIS Frontend

A190854 Integers in (-2+A190809)/3; contains A190809 as a proper subsequence.

Views

Author

Keywords

Comments

Crossrefs

Programs

Mathematica