|
| |
|
|
A013467
|
|
Expansion of e.g.f. -log(cos(x) - log(x+1)).
|
|
1
|
|
|
|
0, 1, 1, 4, 7, 53, 215, 1895, 12122, 132205, 1144627, 14912291, 164213696, 2477432371, 33228911417, 569758644845, 9014907260096, 173288317530505, 3159048447572983, 67337939660404735, 1389152842003647000, 32545156966898107751, 749093688443752763861, 19146060950641834007177
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,4
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
(1/1!)*x + (1/2!)*x^2 + (4/3!)*x^3 + (7/4!)*x^4 + (53/5!)*x^5 + ...
|
|
|
MATHEMATICA
|
Range[0, 20]! CoefficientList[ Series[-Log[Cos[x] - Log[x + 1]], {x, 0, 20}], x] (* Robert G. Wilson v, Aug 06 2018 *)
|
|
|
PROG
|
(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
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
|
EXTENSIONS
|
Missing a(0)=0, a(1)=1 inserted and title improved by Sean A. Irvine, Aug 06 2018
|
|
|
STATUS
|
approved
|
| |
|
|
