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

0,6

Links

Table of n, a(n) for n=0..63.

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 *)

Crossrefs

Cf. A213623.

Sequence in context: A035648 A369069 A322821 * A053575 A293485 A250207

Adjacent sequences: A213618 A213619 A213620 * A213622 A213623 A213624

Keyword

nonn

Author

Peter Luschny, Jun 16 2012

Status

approved