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A013467 Expansion of e.g.f. -log(cos(x) - log(x+1)). 1

%I

%S 0,1,1,4,7,53,215,1895,12122,132205,1144627,14912291,164213696,

%T 2477432371,33228911417,569758644845,9014907260096,173288317530505,

%U 3159048447572983,67337939660404735,1389152842003647000,32545156966898107751,749093688443752763861,19146060950641834007177

%N Expansion of e.g.f. -log(cos(x) - log(x+1)).

%H Vincenzo Librandi, <a href="/A013467/b013467.txt">Table of n, a(n) for n = 0..200</a>

%e (1/1!)*x + (1/2!)*x^2 + (4/3!)*x^3 + (7/4!)*x^4 + (53/5!)*x^5 + ...

%t Range[0, 20]! CoefficientList[ Series[-Log[Cos[x] - Log[x + 1]], {x, 0, 20}], x] (* _Robert G. Wilson v_, Aug 06 2018 *)

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:= [0] cat Coefficients(R!(-Log(Cos(x) - Log(x+1)))); [Factorial(n-1)*b[n]: n in [1..m]]; // _Vincenzo Librandi_, Aug 07 2018

%K nonn

%O 0,4

%A Patrick Demichel (patrick.demichel(AT)hp.com)

%E Missing a(0)=0, a(1)=1 inserted and title improved by _Sean A. Irvine_, Aug 06 2018

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Last modified October 3 14:56 EDT 2022. Contains 357237 sequences. (Running on oeis4.)