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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
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
Sequence in context: A086651 A074495 A081467 * A084721 A273041 A274108
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 16 2011
STATUS
approved

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Last modified June 22 20:54 EDT 2024. Contains 373608 sequences. (Running on oeis4.)