OFFSET
0,1
COMMENTS
For the numerator sequence and detailed information see A193546.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..200
Iaroslav V. Blagouchine, Three notes on Ser's and Hasse's representation for the zeta-functions, Integers (2018) 18A, Article #A3.
FORMULA
a(n)/A194506(n) = (-1)^n * (n+1) * Integral_{x=0..1} x*binomial(x,n+1). - Vladimir Reshetnikov, Feb 01 2017
MATHEMATICA
a[n_, 0] := 1/(n+1); a[n_, m_] := a[n, m] = a[n, m-1] - a[n+1, m-1]/m; a[n_] := a[2, n]; Table[a[n] , {n, 0, 19}] // Denominator (* Jean-François Alcover, Sep 18 2012 *)
Numerator@Table[(-1)^n (n + 1) Integrate[FunctionExpand[x Binomial[x, n + 1]], {x, 0, 1}], {n, 0, 20}] (* Vladimir Reshetnikov, Feb 01 2017 *)
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Paul Curtz, Aug 27 2011
STATUS
approved