A002702 - OEIS

%I M3709 N1515 #27 Feb 28 2019 09:44:02

%S 1,4,120,3024,151200,79200,1513512000,1513512000,51459408000,

%T 74662922880,18068427336960,133196739984000,1215553449093984000,

%U 173650492727712000,3357242859402432000,101013513093196704000,2043503369875369321920000

%N Coefficients for numerical differentiation.

%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/10.1002/sapm1943221115">Coefficients for numerical differentiation with central differences</a>, J. Math. Phys., 22 (1943), 115-135.

%H H. E. Salzer, <a href="/A002457/a002457_2.pdf">Coefficients for numerical differentiation with central differences</a>, J. Math. Phys., 22 (1943), 115-135. [Annotated scanned copy]

%H T. R. Van Oppolzer, <a href="http://www.archive.org/stream/lehrbuchzurbahnb02oppo#page/21/mode/1up">Lehrbuch zur Bahnbestimmung der Kometen und Planeten</a>, Vol. 2, Engelmann, Leipzig, 1880, p. 21 (see denominators of numbers named N(3,2k+1)).

%F a(n) = den(6 * A002455(n) / 2^(2*n) * (2*n + 3)!). - _Sean A. Irvine_, Jun 10 2014

%Y Cf. A002455 (central factorial numbers), A002701 (numerators).

%K nonn,frac

%O 2,2

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Jun 10 2014