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 A194121 Triangular array: T(n,k)=C(n+2,k)+C(n+2,k+1)+C(n+2,k+2), 0<=k<=n. 2
 4, 7, 7, 11, 14, 11, 16, 25, 25, 16, 22, 41, 50, 41, 22, 29, 63, 91, 91, 63, 29, 37, 92, 154, 182, 154, 92, 37, 46, 129, 246, 336, 336, 246, 129, 46, 56, 175, 375, 582, 672, 582, 375, 175, 56, 67, 231, 550, 957, 1254, 1254, 957, 550, 231, 67, 79, 298, 781 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..57. FORMULA T(n,k)=C(n+2,k)+C(n+2,k+1)+C(n+2,k+2), 0<=k<=n. EXAMPLE Northwest corner: 4 7....7 11...14...11 16...25...25...16 22...41...50...41...22 29...63...91...91...63..29 MATHEMATICA T[n_, k_] := Binomial[n + 2, k] + Binomial[n + 2, k + 1] + Binomial[n + 2, k + 2] Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]] (* A194121 as a sequence *) TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]] (* A194121 as an array *) CROSSREFS Cf. A194119, A194121. Sequence in context: A061891 A310931 A310932 * A063194 A071529 A349537 Adjacent sequences: A194118 A194119 A194120 * A194122 A194123 A194124 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 16 2011 STATUS approved

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Last modified May 19 19:45 EDT 2024. Contains 372703 sequences. (Running on oeis4.)