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A366570 a(n) = numerator(denominator(Bernoulli'(n, x)) / denominator(Bernoulli(n, 1))).

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%I A366570 #11 Oct 14 2023 13:12:16
%S A366570 1,1,1,2,1,6,1,6,1,10,1,6,1,210,5,2,1,30,5,210,7,110,5,30,1,546,7,14,
%T A366570 1,30,1,462,77,1190,35,6,1,51870,455,70,7,2310,55,2310,7,322,35,210,1,
%U A366570 6630,221,286,11,330,55,798,19,290,5,30,1,930930,5005,1430
%N A366570 a(n) = numerator(denominator(Bernoulli'(n, x)) / denominator(Bernoulli(n, 1))).
%F A366570 a(n) = numerator(A324370(n) / A027642(n)).
%p A366570 seq(numer(denom(diff(bernoulli(n, x), x))/denom(bernoulli(n, 1))), n = 0..66);
%o A366570 (PARI) a(n) = numerator(lcm(apply(denominator, Vec(deriv(bernpol(n)))))/denominator(subst(bernpol(n, x), x, 1))); \\ _Michel Marcus_, Oct 14 2023
%Y A366570 Cf. A324370/A027642, A366152 (denominator), A366426/A366427 (2nd derivative).
%K A366570 nonn,frac
%O A366570 0,4
%A A366570 _Peter Luschny_, Oct 13 2023