A194120 Triangular array: T(n,k)=C(n+4,k)+C(n+4,k+4), 0<=k<=n.

2, 6, 6, 16, 12, 16, 36, 28, 28, 36, 71, 64, 56, 64, 71, 127, 135, 120, 120, 135, 127, 211, 262, 255, 240, 255, 262, 211, 331, 473, 517, 495, 495, 517, 473, 331, 496, 804, 990, 1012, 990, 1012, 990, 804, 496, 716, 1300, 1794, 2002, 2002, 2002, 2002

Offset

0,1

Links

Table of n, a(n) for n=0..51.

Example

Northwest corner:
2
6...6
16..12..16
36..28..28..36
71..64..56..64..71

Mathematica

T[n_, k_] := Binomial[n + 4, k] + Binomial[n + 4, k + 4]
Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
   (* A194120 as a sequence *)
TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
(* A194120 as an array *)

Crossrefs

Cf. A194118, A194119.

Sequence in context: A056136 A349288 A098571 * A161503 A019076 A197109

Adjacent sequences: A194117 A194118 A194119 * A194121 A194122 A194123

Keyword

nonn,tabl

Author

Clark Kimberling, Aug 16 2011

Status

approved