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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)}. 1
0, 1, 2, 3, 4, 6, 8, 10, 12, 16, 24, 28, 30, 36, 48, 60, 120 (list; graph; refs; listen; history; text; internal format)
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-Fran├žois Alcover, Aug 13 2019 *)

CROSSREFS

Cf. A141056, A144845, A213621.

Sequence in context: A088881 A020697 A175381 * A074715 A216365 A034287

Adjacent sequences:  A213620 A213621 A213622 * A213624 A213625 A213626

KEYWORD

nonn,more

AUTHOR

Peter Luschny, Jun 16 2012

STATUS

approved

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Last modified February 25 10:59 EST 2020. Contains 332231 sequences. (Running on oeis4.)