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A194123 Triangular array: T(n,k)=|C(n+2,k)-C(n+2,k+2)|, 0<=k<=n. 2
0, 2, 2, 5, 0, 5, 9, 5, 5, 9, 14, 14, 0, 14, 14, 20, 28, 14, 14, 28, 20, 27, 48, 42, 0, 42, 48, 27, 35, 75, 90, 42, 42, 90, 75, 35, 44, 110, 165, 132, 0, 132, 165, 110, 44, 54, 154, 275, 297, 132, 132, 297, 275, 154, 54, 65, 208, 429, 572, 429, 0, 429, 572, 429, 208, 65 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
EXAMPLE
Northwest corner:
0
2...2
5...0...5
9...5...5...9
14..14..0...14..14
20..28..14..14..28..20
MATHEMATICA
T[n_, k_]:=Abs[Binomial[n+2, k]-Binomial[n+2, k+2]]
Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
(* A194123 as a sequence *)
TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
(* A194123 as an array *)
CROSSREFS
Cf. A194124.
Sequence in context: A292383 A332896 A100247 * A011342 A084046 A200493
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 16 2011
STATUS
approved

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Last modified June 13 00:21 EDT 2024. Contains 373362 sequences. (Running on oeis4.)