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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

%I #11 Aug 13 2019 08:13:26

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

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

%C Is this a finite sequence?

%p # Clausen(n, k) defined in A160014.

%p seq(`if`(denom(bernoulli(i,x))=Clausen(i,1),i,NULL), i=0..120);

%t Clausen[n_, k_] := If[n == 0, 1, Times @@ (Select[Divisors[n], PrimeQ[# + k]&] + k)];

%t Select[Range[0, 120], Denominator[BernoulliB[#, x] // Together] == Clausen[#, 1]&] (* _Jean-François Alcover_, Aug 13 2019 *)

%Y Cf. A141056, A144845, A213621.

%K nonn,more

%O 0,3

%A _Peter Luschny_, Jun 16 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)