A213623 Numbers n such that the denominator of the Bernoulli polynomial B(n,x) equals the Clausen number C(n), {n | A144845(n) = A141056(n)}.

0, 1, 2, 3, 4, 6, 8, 10, 12, 16, 24, 28, 30, 36, 48, 60, 120

Offset

0,3

Comments

Is this a finite sequence?

Links

Table of n, a(n) for n=0..16.

Maple

# Clausen(n, k) defined in A160014.
seq(`if`(denom(bernoulli(i, x))=Clausen(i, 1), i, NULL), i=0..120);

Mathematica

Clausen[n_, k_] := If[n == 0, 1, Times @@ (Select[Divisors[n], PrimeQ[# + k]&] + k)];
Select[Range[0, 120], Denominator[BernoulliB[#, x] // Together] == Clausen[#, 1]&] (* Jean-François Alcover, Aug 13 2019 *)

Crossrefs

Cf. A141056, A144845, A213621.

Sequence in context: A020697 A175381 A369519 * A216365 A034287 A067128

Adjacent sequences: A213620 A213621 A213622 * A213624 A213625 A213626

Keyword

nonn,more

Author

Peter Luschny, Jun 16 2012

Status

approved