login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A366426
a(n) = numerator(denominator(Bernoulli''(n, x)) / denominator(Bernoulli(n, 1))).
3
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 3, 5, 5, 7, 1, 5, 15, 1, 1, 7, 7, 1, 1, 1, 1, 77, 7, 35, 3, 1, 1, 455, 35, 7, 21, 55, 55, 7, 7, 7, 105, 1, 5, 221, 13, 11, 33, 55, 1, 19, 1, 5, 15, 1, 1, 5005, 715, 143, 33, 17, 85, 161, 35, 1, 3, 11, 55, 95095
OFFSET
0,15
FORMULA
a(n) = numerator(A366168(n) / A027642(n)).
MAPLE
seq(numer(denom(diff(diff(bernoulli(n, x), x), x))/denom(bernoulli(n, 1))), n = 0..75);
PROG
(PARI) a(n) = numerator(lcm(apply(denominator, Vec(deriv(deriv(bernpol(n))))))/denominator(subst(bernpol(n, x), x, 1))); \\ Michel Marcus, Oct 14 2023
CROSSREFS
Cf. A366168/A027642, A366427 (denominator), A366570/A366152 (1st derivative).
Sequence in context: A359667 A010129 A073050 * A154740 A179261 A154567
KEYWORD
nonn,frac
AUTHOR
Peter Luschny, Oct 13 2023
STATUS
approved