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A194120 Triangular array: T(n,k)=C(n+4,k)+C(n+4,k+4), 0<=k<=n. 3
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
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
Sequence in context: A056136 A349288 A098571 * A161503 A019076 A197109
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 16 2011
STATUS
approved

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Last modified June 25 11:48 EDT 2024. Contains 373701 sequences. (Running on oeis4.)