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 A272774 Triangle read by rows, T(n, k) = (n-k)*T(n-1, k-1) + k*T(n-1, k+1) except that T(n, k) = 0 if k<1 or k>n and T(n, n) = 1, for n>=0 and 0<=k<=n. 0
 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 4, 0, 1, 0, 4, 0, 11, 0, 1, 0, 0, 38, 0, 26, 0, 1, 0, 38, 0, 230, 0, 57, 0, 1, 0, 0, 688, 0, 1148, 0, 120, 0, 1, 0, 688, 0, 7572, 0, 5192, 0, 247, 0, 1, 0, 0, 20648, 0, 66200, 0, 22250, 0, 502, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 LINKS EXAMPLE Triangle starts: [1] [0, 1] [0, 0, 1] [0, 1, 0, 1] [0, 0, 4, 0, 1] [0, 4, 0, 11, 0, 1] [0, 0, 38, 0, 26, 0, 1] [0, 38, 0, 230, 0, 57, 0, 1] [0, 0, 688, 0, 1148, 0, 120, 0, 1] [0, 688, 0, 7572, 0, 5192, 0, 247, 0, 1] PROG (Sage) def T(n, k):     if n==k : return 1     if k<1 or k>n : return 0     return (n-k)*T(n-1, k-1)+k*T(n-1, k+1) for n in range(12):     print([T(n, k) for k in range(n+1)]) CROSSREFS Cf. A000522 (row sums). Sequence in context: A275714 A111728 A143784 * A333274 A147311 A147312 Adjacent sequences:  A272771 A272772 A272773 * A272775 A272776 A272777 KEYWORD nonn,tabl AUTHOR Peter Luschny, May 06 2016 STATUS approved

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Last modified June 20 23:24 EDT 2021. Contains 345312 sequences. (Running on oeis4.)