A194118 Triangular array: T(n,k)=C(n+2,k)+C(n+2,k+2), 0<=k<=n.

2, 4, 4, 7, 8, 7, 11, 15, 15, 11, 16, 26, 30, 26, 16, 22, 42, 56, 56, 42, 22, 29, 64, 98, 112, 98, 64, 29, 37, 93, 162, 210, 210, 162, 93, 37, 46, 130, 255, 372, 420, 372, 255, 130, 46, 56, 176, 385, 627, 792, 792, 627, 385, 176, 56, 67, 232, 561, 1012, 1419

Offset

0,1

Links

Table of n, a(n) for n=0..59.

Example

Northwest corner:
2
4...4
7...8...7
11..15..15..11
16..26..30..26..16

Mathematica

T[n_, k_] := Binomial[n + 2, k] + Binomial[n + 2, k + 2]
Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
  (* A194118 as a sequence *)
TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
  (* A194118 as an array *)

Crossrefs

Cf. A007318, A194119, A194120.

Sequence in context: A139825 A347067 A164721 * A266188 A272881 A325646

Adjacent sequences: A194115 A194116 A194117 * A194119 A194120 A194121

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 16 2011

Status

approved