A366572 -id:A366572 - cp's OEIS frontend

A366571 a(n) = denominator(Bernoulli(n, x)) / denominator(Bernoulli'(n, x)).

1, 2, 6, 1, 30, 1, 42, 1, 10, 1, 66, 1, 2730, 1, 2, 3, 170, 1, 798, 1, 110, 3, 46, 1, 546, 1, 2, 1, 870, 1, 14322, 1, 170, 3, 2, 1, 1919190, 1, 2, 3, 4510, 1, 1806, 1, 46, 15, 94, 1, 1326, 1, 22, 3, 530, 1, 798, 1, 290, 3, 118, 1, 56786730, 1, 2, 3, 34, 5, 64722

Offset: 0

Peter Luschny, Oct 13 2023

Cf. A144845/A324370, A366572, A144845/A366168 (2nd derivative).

seq(denom(bernoulli(n, x))/denom(diff(bernoulli(n, x), x)), n = 0..66);

a(n) = lcm(apply(denominator, Vec(bernpol(n))))/lcm(apply(denominator, Vec(deriv(bernpol(n))))); \\ Michel Marcus, Oct 14 2023

a(n) = A144845(n) / A324370(n).

A366573 a(n) = denominator(Bernoulli'(n, x)) / denominator(Bernoulli''(n, x)).

Original entry on oeis.org

1, 1, 1, 2, 1, 6, 1, 6, 1, 10, 1, 6, 1, 210, 1, 2, 3, 10, 1, 42, 1, 110, 3, 2, 1, 546, 1, 2, 1, 30, 1, 462, 1, 170, 3, 2, 1, 51870, 1, 2, 3, 110, 1, 42, 1, 46, 15, 2, 1, 1326, 1, 22, 3, 10, 1, 798, 1, 290, 3, 2, 1, 930930, 1, 2, 3, 34, 5, 966, 1, 2, 3, 110, 1

Offset: 0

Peter Luschny, Oct 13 2023

nonn

Cf. A324370/A366168, A366572, A144845/A366168.

seq(denom(diff(bernoulli(n, x), x))/denom(diff(diff(bernoulli(n, x), x),x)), n = 0..100);

a(n) = lcm(apply(denominator, Vec(deriv(bernpol(n)))))/ lcm(apply(denominator, Vec(deriv(deriv(bernpol(n)))))); \\ Michel Marcus, Oct 14 2023

a(n) = A324370(n) / A366168(n).

cp's OEIS Frontend

A366571 a(n) = denominator(Bernoulli(n, x)) / denominator(Bernoulli'(n, x)).

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