A194119 Triangular array: T(n,k)=C(n+3,k)+C(n+3,k+3), 0<=k<=n.

2, 5, 5, 11, 10, 11, 21, 21, 21, 21, 36, 42, 42, 42, 36, 57, 78, 84, 84, 78, 57, 85, 135, 162, 168, 162, 135, 85, 121, 220, 297, 330, 330, 297, 220, 121, 166, 341, 517, 627, 660, 627, 517, 341, 166, 221, 507, 858, 1144, 1287, 1287, 1144, 858, 507, 221

Offset

0,1

Links

Table of n, a(n) for n=0..54.

Example

Northwest corner:
2
5...5
11...10...11
21...21...21...21
36...42...42...36
57...78...84...84...78...56

Mathematica

T[n_, k_] := Binomial[n + 3, k] + Binomial[n + 3, k + 3]
Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
   (* A194119 as a sequence *)
TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
 (* A194119 as an array *)

Crossrefs

Cf. A007318, A194118, A194120.

Sequence in context: A086651 A074495 A081467 * A084721 A273041 A274108

Adjacent sequences: A194116 A194117 A194118 * A194120 A194121 A194122

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 16 2011

Status

approved