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 A056862 Triangle T(n,k) is the number of restricted growth strings (RGS) of set partitions of {1..n} that have a decrease at index k (1<=k
 0, 0, 1, 0, 3, 4, 0, 10, 14, 16, 0, 37, 54, 63, 68, 0, 151, 228, 271, 296, 311, 0, 674, 1046, 1264, 1396, 1478, 1530, 0, 3263, 5178, 6349, 7084, 7555, 7862, 8065, 0, 17007, 27488, 34139, 38448, 41287, 43184, 44467, 45344, 0, 94828, 155642, 195494, 222044, 239976, 252230, 260690, 266584, 270724 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,5 COMMENTS Number of falls s_k > s_{k+1} in a RGS [s_1, ..., s_n] of a set partition of {1, ..., n}, where s_i is the subset containing i, s_1 = 1 and s_i <= 1 + max(j p+[0, `if`(j (p-> seq(coeff(p, x, i), i=1..n-1))(b(n, 1, 0\$2)[2]): seq(T(n), n=2..12);  # Alois P. Heinz, Mar 24 2016 MATHEMATICA b[n_, i_, m_, t_] := b[n, i, m, t] = If[n == 0, {1, 0}, Sum[Function[p, p + {0, If[j

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Last modified January 24 10:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)