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Numerator of constant term in polynomial arising from numerical integration formula.
(Formerly M3119 N1264)
1

%I M3119 N1264 #20 Oct 18 2023 04:32:52

%S -1,3,-29,289,-1627,27769,-18044381,145511171,-1514611753,

%T 142324922009,-45517196560877,1750347891902329,-307338038704738637,

%U 32691361126849302587,-124979231585030156687,13342245096512975609370931,-265966517264946845952131041

%N Numerator 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 a(n)/A002670(n) = (1 / n!)^2 * Sum_{j=0..n} (-n)^j * A265607(n, j). - _Sean A. Irvine_, Jul 31 2017

%Y Cf. A002670.

%K sign,frac

%O 1,2

%A _N. J. A. Sloane_

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