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Denominators of coefficients of log(1+x)/sqrt(1+x).
(Formerly M5139 N2229)
2

%I M5139 N2229 #24 Oct 16 2023 23:49:00

%S 1,1,24,12,640,1920,107520,1792,2064384,10321920,43253760,64880640,

%T 5398069248,4198498304,503819796480,62977474560,16610786017280,

%U 4271344975872,649244436332544,41618233098240,27967452642017280

%N Denominators of coefficients of log(1+x)/sqrt(1+x).

%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 Vincenzo Librandi, <a href="/A002550/b002550.txt">Table of n, a(n) for n = 1..200</a>

%H W. G. Bickley and J. C. P. Miller, <a href="http://dx.doi.org/10.1080/14786444208521334">Numerical differentiation near the limits of a difference table</a>, Phil. Mag., 33 (1942), 1-12 (plus tables).

%H W. G. Bickley and J. C. P. Miller, <a href="/A002551/a002551.pdf">Numerical differentiation near the limits of a difference table</a>, Phil. Mag., 33 (1942), 1-12 (plus tables). [Annotated scanned copy]

%t Denominator[CoefficientList[Series[Log[1 + x]/Sqrt[1 + x]/x, {x, 0, 40}], x]] (* _Vincenzo Librandi_, Mar 25 2014 *)

%Y Cf. A002549.

%K nonn,frac

%O 1,3

%A _N. J. A. Sloane_

%E More terms from _Benoit Cloitre_, Mar 29 2002