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Denominator of constant term in polynomial arising from numerical integration formula.
(Formerly M2033 N0805)
1

%I M2033 N0805 #19 Oct 19 2023 08:18:40

%S 1,2,12,72,240,2400,907200,4233600,25401600,1371686400,251475840000,

%T 5532468480000,554827553280000,33659538232320000,73302994372608000,

%U 4453156908135936000000,50469111625540608000000,63553696121051136000000

%N Denominator of constant term in polynomial arising from numerical integration formula.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H H. E. Salzer, <a href="https://doi.org/10.1090/S0025-5718-1957-0090123-4">Equally-weighted quadrature formulas for inversion integrals</a>, Math. Comp., 11 (1957), 197-200.

%F A002669(n)/a(n) = (1 / n!)^2 * Sum_{j=0..n} (-n)^j * A265607(n, j). - _Sean A. Irvine_, Jul 31 2017

%Y Cf. A002669.

%K nonn

%O 1,2

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Jul 31 2017