OFFSET
0,3
COMMENTS
The semiderivative is the fractional derivative of order 1/2. The Davison-Essex method is used. See A346709 for formulas and references.
MAPLE
r := n -> int(diff(bernoulli(n, t), t) / sqrt(1 - t), t = 0..1):
a := n -> denom(r(n)): seq(a(n), n = 0..9);
# Alternative:
fb := n -> sqrt(Pi)*fracdiff(bernoulli(n, x), x, 1/2):
seq(denom(simplify(subs(x=1, fb(n)))), n = 0..9);
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Peter Luschny, Jul 31 2021
STATUS
approved