0,2

From the Von Staudt-Clausen theorem, denominator(B_2n) = product of primes p such that (p-1)|2n.

Row products of A138239. - Mats Granvik (mgranvik(AT)abo.fi), Mar 08 2008

G. Everest, A. van der Poorten, I. Shparlinski and T. Ward, Recurrence Sequences, Amer. Math. Soc., 2003; see esp. p. 255.

See A000367 for further references and links (there are a lot).

T. D. Noe, Table of n, a(n) for n=0..10000

G. Everest, A. J. van der Poorten, Y. Puri and T. Ward, Integer Sequences and Periodic Points, Journal of Integer Sequences, Vol. 5 (2002), Article 02.2.3

Niels Nielsen, Traite Elementaire des Nombres de Bernoulli, Gauthier-Villars, 1923, pp. 398.

S. Plouffe, The First 498 Bernoulli numbers [Project Gutenberg Etext]

Index entries for sequences related to Bernoulli numbers.

E.g.f: t/(e^t - 1).

B_{2n}/(2n)! = 2*(-1)^(n-1)*(2*Pi)^(-2n) Sum_{k=1..inf} 1/k^(2n) (gives asymptotics) - Rademacher, p. 16, Eq. (9.1). In particular, B_{2*n} ~ (-1)^(n-1)*2*(2*n)!/(2*Pi)^(2*n).

B_{2n} = [ 1, 1/6, -1/30, 1/42, -1/30, 5/66, -691/2730, 7/6, -3617/510,... ].

(PARI) a(n)=prod(p=2, 2*n+1, if(isprime(p), if((2*n)%(p-1), 1, p), 1)) (Benoit Cloitre)

Cf. A090801 (distinct numbers appearing as denominators of Bernoulli numbers)

B_n gives A027641/A027642. See A027641 for full list of references, links, formulae, etc.

See A000367 for numerators. Cf. A027762, A027641, A027642.

Cf. also A002882, A003245, A127187, A127188.

Cf. A138239.

Adjacent sequences: A002442 A002443 A002444 this_sequence A002446 A002447 A002448

Sequence in context: A067879 A136375 A138706 this_sequence A027762 A130512 A127662

nonn,frac,nice

njas