The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A051712 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A051712

Numerator of b(n)-b(n+1), where b(n) = n/((n+1)(n+2)) = A026741/A045896.
(history; published version)

#10 by Jon E. Schoenfield at Sat Mar 28 06:43:31 EDT 2015

STATUS

editing

approved

#9 by Jon E. Schoenfield at Sat Mar 28 06:43:29 EDT 2015

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#8 by Russ Cox at Fri Mar 30 16:48:40 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:48

OEIS Server: https://oeis.org/edit/global/110

#7 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,frac,easy,mult,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#6 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007

KEYWORD

nonn,frac,easy,newmult

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

COMMENTS

b(n) = a(n+1) is multiplicative with b(2^e) = 1 if p = 2, b(3^e) = p^(e-1), 3, p^e if p >= 5.

KEYWORD

nonn,frac,easy,new

#4 by N. J. A. Sloane at Sat Apr 09 03:00:00 EDT 2005

LINKS

M. Kaneko, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">The Akiyama-Tanigawa algorithm for Bernoulli numbers</a>, J. Integer Sequences, 3 (2000), #00.2.9.

KEYWORD

nonn,frac,easy,new

#3 by N. J. A. Sloane at Sun Feb 20 03:00:00 EST 2005

LINKS

M. Kaneko, <a href="http://www.mathcs.uwaterloo.ca/JIS/index.html">The Akiyama-Tanigawa algorithm for Bernoulli numbers</a>, J. Integer Sequences, 3 (2000), #00.2.9.

KEYWORD

nonn,frac,easy,new

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

LINKS

M. Kaneko, <a href="http://www.math.uwaterloo.ca/JIS/index.html">The Akiyama-Tanigawa algorithm for Bernoulli numbers</a>, J. Integer Sequences, 3 (2000), #00.2.9.

KEYWORD

nonn,frac,easy,new

#1 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

Numerator of b(n)-b(n+1), where b(n) = n/((n+1)(n+2)) = A026741/A045896.

DATA

0, 1, 1, 1, 1, 5, 1, 7, 1, 3, 5, 11, 1, 13, 7, 5, 2, 17, 3, 19, 5, 7, 11, 23, 1, 25, 13, 9, 7, 29, 5, 31, 4, 11, 17, 35, 3, 37, 19, 13, 5, 41, 7, 43, 11, 15, 23, 47, 2, 49, 25, 17, 13, 53, 9, 55, 7, 19, 29, 59, 5, 61, 31, 21, 8, 65, 11, 67, 17, 23, 35, 71, 3, 73

OFFSET

1,6

EXAMPLE

0, 1/60, 1/60, 1/70, 1/84, 5/504, 1/120, 7/990, 1/165, 3/572,...

CROSSREFS

Cf. A051713. Row 3 of table in A051714/A051715.

KEYWORD

nonn,frac,easy

AUTHOR

njas

STATUS

approved