%I #7 Aug 01 2021 12:57:37
%S 1,1,3,5,35,63,33,143,585,935,4199,399,35581,76475,11475,114057,13485,
%T 4023459,55825,6094011,16111095,12540957,122960435,467883,671993075,
%U 11586393,109938507,56448551,15260511805,3338985045,117979542989,25843026187,452039265909
%N The denominators of the semiderivative of the Euler polynomials at x = 1 and normalized by sqrt(Pi).
%C The semiderivative is the fractional derivative of order 1/2. The Davison-Essex method is used. See A346714 for formulas and references.
%p r := n -> int(diff(euler(n, x), x) / sqrt(1 - x), x = 0..1);
%p a := n -> denom(r(n)): seq(a(n), n = 0..23);
%p # Alternative:
%p fe := n -> sqrt(Pi)*fracdiff(euler(n, x), x, 1/2):
%p seq(denom(simplify(subs(x=1, fe(n)))), n = 0..23);
%Y Cf. A346709, A346710, A346711, A346712, A346714 (numerator).
%K nonn,frac
%O 0,3
%A _Peter Luschny_, Jul 31 2021