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 A286416 Number T(n,k) of entries in the k-th last blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. 6
 1, 3, 1, 8, 6, 1, 24, 25, 10, 1, 83, 98, 63, 15, 1, 324, 399, 338, 135, 21, 1, 1400, 1746, 1727, 980, 257, 28, 1, 6609, 8271, 8874, 6426, 2455, 448, 36, 1, 33758, 42284, 47191, 40334, 20506, 5474, 730, 45, 1, 185136, 231939, 263458, 250839, 158827, 57239, 11128, 1128, 55, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Alois P. Heinz, Rows n = 1..141, flattened Wikipedia, Partition of a set EXAMPLE T(3,2) = 6 because the number of entries in the second last blocks of all set partitions of [3] (123, 12|3, 13|2, 1|23, 1|2|3) is 0+2+2+1+1 = 6. Triangle T(n,k) begins: :    1; :    3,    1; :    8,    6,    1; :   24,   25,   10,    1; :   83,   98,   63,   15,    1; :  324,  399,  338,  135,   21,   1; : 1400, 1746, 1727,  980,  257,  28,  1; : 6609, 8271, 8874, 6426, 2455, 448, 36, 1; CROSSREFS Columns k=1-2 give: A038561 (for n>1), A286433. Main diagonal and first lower diagonal give: A000012, A000217. Row sums give A070071. Cf. A000110, A130534, A270236, A286232. Sequence in context: A123965 A124025 A257488 * A005295 A077897 A308737 Adjacent sequences:  A286413 A286414 A286415 * A286417 A286418 A286419 KEYWORD nonn,tabl AUTHOR Alois P. Heinz, May 08 2017 STATUS approved

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Last modified January 19 20:41 EST 2020. Contains 331066 sequences. (Running on oeis4.)