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 A322127 Triangular array, read by rows: T(n,k) = numerator of binomial(n-1, n-k)/k!, 1 <= k <= n. 8
 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 5, 5, 5, 1, 1, 1, 3, 5, 5, 1, 1, 1, 1, 7, 7, 35, 7, 7, 1, 1, 1, 4, 14, 7, 7, 7, 1, 1, 1, 1, 9, 6, 7, 21, 7, 1, 1, 1, 1, 1, 5, 15, 5, 7, 7, 1, 1, 1, 1, 1, 1, 11, 55, 55, 11, 77, 11, 11, 11, 11, 1, 1, 1, 6, 11, 55, 33, 11, 11, 11, 11, 11, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS Seiichi Manyama, Rows n = 1..140, flattened EXAMPLE T(n,k) = binomial(n-1, n-k)/k!. 1/1; 1/1, 1/2; 1/1, 1/1, 1/6; 1/1, 3/2, 1/2, 1/24; 1/1, 2/1, 1/1, 1/6, 1/120; 1/1, 5/2, 5/3, 5/12, 1/24, 1/720; 1/1, 3/1, 5/2, 5/6, 1/8, 1/120, 1/5040; 1/1, 7/2, 7/2, 35/24, 7/24, 7/240, 1/720, 1/40320; MATHEMATICA T[n_, k_] := Numerator[Binomial[n-1, n-k]/k!]; Table[T[n, k], {n, 1, 10}, {k, 1, n}] // Flatten (* Amiram Eldar, Nov 27 2018 *) CROSSREFS Cf. A007318, A322093, A322128. Sequence in context: A090751 A344759 A337820 * A282496 A253238 A249773 Adjacent sequences: A322124 A322125 A322126 * A322128 A322129 A322130 KEYWORD nonn,frac,tabl,look AUTHOR Seiichi Manyama, Nov 27 2018 STATUS approved

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Last modified September 13 11:30 EDT 2024. Contains 375905 sequences. (Running on oeis4.)