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 A008969 Triangle of differences of reciprocals of unity. 16
 1, 1, 3, 1, 11, 7, 1, 50, 85, 15, 1, 274, 1660, 575, 31, 1, 1764, 48076, 46760, 3661, 63, 1, 13068, 1942416, 6998824, 1217776, 22631, 127, 1, 109584, 104587344, 1744835904, 929081776, 30480800, 137845, 255 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 228. LINKS Alois P. Heinz, Rows n = 1..45, flattened MAPLE T:= (n, k)-> `if`(k<=n, (n-k+2)!^k *add ((-1)^(j+1) *binomial(n-k+2, j)/ j^k, j=1..n-k+2), 0): seq (seq (T(n, k), k=0..n), n=0..7); # Alois P. Heinz, Sep 05 2008 MATHEMATICA T[n_, k_] := If[k <= n, (n-k+2)!^k*Sum[(-1)^(j+1)*Binomial[n-k+2, j]/j^k, {j, 1, n-k+2}], 0]; Table[Table[T[n, k], {k, 0, n}], {n, 0, 7}] // Flatten (* Jean-François Alcover, Mar 10 2014, after Alois P. Heinz *) CROSSREFS Cf. A001236, A001237, A001238, A001240, A001241, A001242. Columns include A000254, A000424, A001236, A001237, A001238. Right-hand columns include A000225, A001240, A001241, A001242. Sequence in context: A111965 A110440 A135574 * A199577 A228534 A119908 Adjacent sequences:  A008966 A008967 A008968 * A008970 A008971 A008972 KEYWORD nonn,tabl AUTHOR STATUS approved

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Last modified October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)