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Numerators of coefficients of log(1+x)/sqrt(1+x).
(Formerly M5128 N2223)
2

%I M5128 N2223 #34 Jul 18 2015 13:15:38

%S 1,1,23,11,563,1627,88069,1423,1593269,7759469,31730711,46522243,

%T 3788707301,2888008157,340028535787,41743955887,10823198495797,

%U 2738032559863,409741429887649,25876414060339,17141894231615609

%N Numerators 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 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]

%o (PARI) x='x+O('x^66); abs(apply(t->numerator(t),Vec(log(1+x)/sqrt(1+x)))) \\ _Joerg Arndt_, Apr 18 2014

%Y Cf. A002550, A002428.

%K nonn,frac

%O 1,3

%A _N. J. A. Sloane_

%E More terms from _Benoit Cloitre_, Mar 29 2002

%E a(15) corrected by _Sean A. Irvine_, Mar 24 2014

%E a(18) corrected by _Sean A. Irvine_, Apr 17 2014