A366152 a(n) = denominator(denominator(Bernoulli'(n, x)) / denominator(Bernoulli(n, 1))).

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

Offset

0,2

Links

Table of n, a(n) for n=0..66.

Formula

a(n) = denominator(A324370(n) / A027642(n)).

Maple

seq(denom(denom(diff(bernoulli(n, x), x))/denom(bernoulli(n, 1))), n = 0..66);

Prog

(PARI) a(n) = denominator(lcm(apply(denominator, Vec(deriv(bernpol(n)))))/denominator(subst(bernpol(n, x), x, 1))); \\ Michel Marcus, Oct 14 2023

Crossrefs

Cf. A324370/A027642, A366570 (numerator), A366426/A366427 (2nd derivative).

Sequence in context: A132181 A364374 A291646 * A366427 A366571 A027642

Adjacent sequences: A366149 A366150 A366151 * A366153 A366154 A366155

Keyword

nonn,frac

Author

Peter Luschny, Oct 13 2023

Status

approved