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 A254883 Triangle read by rows, T(n,k) = sum(j=0..2*(n-k), A254882(n-k,j)*k^j /(n-k)!), n>=0, 0<=k<=n. 1
 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 6, 9, 3, 1, 0, 24, 48, 24, 4, 1, 0, 120, 300, 200, 50, 5, 1, 0, 720, 2160, 1800, 600, 90, 6, 1, 0, 5040, 17640, 17640, 7350, 1470, 147, 7, 1, 0, 40320, 161280, 188160, 94080, 23520, 3136, 224, 8, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 LINKS EXAMPLE [1] [0, 1] [0, 1, 1] [0, 2, 2, 1] [0, 6, 9, 3, 1] [0, 24, 48, 24, 4, 1] [0, 120, 300, 200, 50, 5, 1] [0, 720, 2160, 1800, 600, 90, 6, 1] MATHEMATICA Flatten[{1, 0, 1, Table[{0, Table[Sum[Sum[Abs[StirlingS1[n-k, m+1]] * Abs[StirlingS1[n-k, j-m]], {m, 0, j-1}]*k^j/(n-k)!, {j, 0, 2*(n-k)}], {k, 1, n-1}], 1}, {n, 2, 10}]}] (* Vaclav Kotesovec, Feb 10 2015 *) PROG (Sage) T = lambda n, k: sum(A254882(n-k, j)*k^j/factorial(n-k) for j in (0..2*(n-k))) for n in range(6): [T(n, k) for k in (0..n)] CROSSREFS Cf. A254882. Sequence in context: A084938 A135898 A131182 * A266599 A327365 A093729 Adjacent sequences:  A254880 A254881 A254882 * A254884 A254885 A254886 KEYWORD nonn,tabl AUTHOR Peter Luschny, Feb 10 2015 STATUS approved

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Last modified February 22 15:05 EST 2020. Contains 332137 sequences. (Running on oeis4.)