A213621 The denominator of the Bernoulli polynomial B(n,x) divided by the Clausen number C(n), A144845(n)/A141056(n).

1, 1, 1, 1, 1, 3, 1, 3, 1, 5, 1, 3, 1, 105, 5, 3, 1, 15, 5, 105, 7, 165, 5, 15, 1, 273, 7, 7, 1, 15, 1, 231, 77, 1785, 35, 3, 1, 25935, 455, 105, 7, 1155, 55, 1155, 7, 2415, 35, 105, 1, 3315, 221, 429, 11, 165, 55, 399, 19, 435, 5, 15, 1, 465465, 5005, 2145

Offset: 0

Author

Peter Luschny, Jun 16 2012

Keywords

• nonn

Crossrefs

Cf. A213623.

Programs

Maple

# Clausen(n,k) defined in A160014.
seq(denom(bernoulli(i,x))/Clausen(i,1), i=0..63);

Mathematica

c[0, ] = 1; c[n, k_] := Times @@ (Select[Divisors[n], PrimeQ[#+k]&] + k);
Table[Denominator[BernoulliB[i, x] // Together]/c[i, 1], {i, 0, 63}] (* Jean-François Alcover, Aug 02 2019 *)