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A194119 Triangular array:  T(n,k)=C(n+3,k)+C(n+3,k+3), 0<=k<=n. 4
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 19 17:50 EDT 2020. Contains 337180 sequences. (Running on oeis4.)