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 A074246 Triangle of coefficients, read by rows, where the n-th row forms the polynomial P(n,x) = {Sum_{k=1..n} 1/(k+x)}*{Product_{k=1..n} (k+x)}. 2
 1, 3, 2, 11, 12, 3, 50, 70, 30, 4, 274, 450, 255, 60, 5, 1764, 3248, 2205, 700, 105, 6, 13068, 26264, 20307, 7840, 1610, 168, 7, 109584, 236248, 201852, 89796, 22680, 3276, 252, 8, 1026576, 2345400, 2171040, 1077300, 316365, 56700, 6090, 360, 9 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The n-th row polynomial, P(n,x), has ordered zeros {z_k < z_(k+1), 0 Length] &, x], {n, 1, 9}]] (* Jean-François Alcover, May 04 2011 *) PROG (PARI) P(n) = Vecrev(sum(k=1, n, prod(k=1, n, (k+x))/(k+x))); for (n=1, 10, print(P(n))) \\ Michel Marcus, Jan 22 2017 CROSSREFS See references and formulas at A000254, A001705.  Cf. A028421. A027480 is the second right hand column. - Johannes W. Meijer, Oct 16 2009 Sequence in context: A086194 A258386 A159610 * A134426 A122672 A194608 Adjacent sequences:  A074243 A074244 A074245 * A074247 A074248 A074249 KEYWORD easy,nice,nonn,tabl AUTHOR Paul D. Hanna, Sep 19 2002 STATUS approved

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Last modified February 20 08:44 EST 2019. Contains 320325 sequences. (Running on oeis4.)