The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A069267

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A069267

a(n) = (2^(n-1)/(2n)!)*Product_{k=1..n} q(k) where q(n) is the denominator of B(2n), the 2n-th Bernoulli number.
(history; published version)

#11 by Michel Marcus at Mon Jan 04 07:47:54 EST 2021

STATUS

reviewed

approved

#10 by Joerg Arndt at Mon Jan 04 06:33:43 EST 2021

STATUS

proposed

reviewed

#9 by Michel Marcus at Mon Jan 04 05:33:18 EST 2021

STATUS

editing

proposed

#8 by Michel Marcus at Mon Jan 04 05:33:06 EST 2021

NAME

Let a(n) = (2^(n-1)/(2n)!)*Product_{k=1..n} q(k) where q(n) denote is the denominator of B(2n), the 2n-th Bernoulli number: a(n) = (2^(n-1)/(2n)!)*Product_{k=1..n} q(n).

PROG

(PARI) a(n) = (2^(n-1)/(2*n)!)*prod(k=1, n, denominator(bernfrac(2*k))); \\ Michel Marcus, Jan 04 2021

CROSSREFS

Cf. A002445.

EXTENSIONS

Name edited by Michel Marcus, Jan 04 2021

STATUS

proposed

editing

Discussion

Mon Jan 04

05:33

Michel Marcus: ok ?

#7 by Jon E. Schoenfield at Mon Jan 04 04:34:17 EST 2021

STATUS

editing

proposed

#6 by Jon E. Schoenfield at Mon Jan 04 04:34:10 EST 2021

NAME

Let q(n) denote the denominator of B(2n), the 2n-th Bernoulli number : a(n) = (2^(n-1)/(2n)!)*prod(Product_{k=1,..n,} q(n)).

COMMENTS

lim Lim_{n-> inf } a(n)^(1/n) = 1.

STATUS

approved

editing

Discussion

Mon Jan 04

04:34

Jon E. Schoenfield: Parens in Name correct?

#5 by Russ Cox at Fri Mar 30 18:38:57 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Apr 14 2002

Discussion

Fri Mar 30

18:38

OEIS Server: https://oeis.org/edit/global/216

#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

easy,nonn,new

AUTHOR

Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), Apr 14 2002

#3 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005

KEYWORD

easy,nonn,new

AUTHOR

Benoit Cloitre (abcloitreabmt(AT)modulonetwanadoo.fr), Apr 14 2002

#2 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005

KEYWORD

easy,nonn,new

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoomodulonet.fr), Apr 14 2002