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Revision History for A243808 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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Position within the triangular array A226314(n)/A054531(n) of rationals x/y such that x < y, gcd(x,y)=1 and x+y odd.
(history; published version)
#26 by Bruno Berselli at Thu Aug 01 03:49:43 EDT 2019
STATUS

proposed

approved

#25 by Jon E. Schoenfield at Thu Aug 01 03:48:39 EDT 2019
STATUS

editing

proposed

#24 by Jon E. Schoenfield at Thu Aug 01 03:48:36 EDT 2019
NAME

Position within the triangular array A226314(n)/A054531(n) of rationals x/y such that x < y, GCDgcd(x,y)=1 and x+y odd.

EXAMPLE

a(4)=9, as the 4th PPT is generated from the 9th term of the triangular array at index (3,4). This gives (x,y) as (3,4) and it generates the PPT (7,24,25). Conversely the PPT (7,24,25) gives (x,y) = (Sqrtsqrt((25-7)/2),Sqrt sqrt((25+7)/2)=(3,4). It is the 9th term of the triangular array and the 4th term of the enumerating sequence.

STATUS

approved

editing

#23 by OEIS Server at Sun Nov 30 14:58:37 EST 2014
LINKS

Frank M Jackson, <a href="/A243808/b243808_1.txt">Table of n, a(n) for n = 1..57</a>

#22 by R. J. Mathar at Sun Nov 30 14:58:37 EST 2014
STATUS

editing

approved

Discussion
Sun Nov 30
14:58
OEIS Server: Installed new b-file as b243808.txt.  Old b-file is now b243808_1.txt.
#21 by R. J. Mathar at Sun Nov 30 14:58:29 EST 2014
LINKS

Frank M Jackson, <a href="/A243808/b243808_1.txt">Table of n, a(n) for n = 1..57</a>

STATUS

approved

editing

#20 by Bruno Berselli at Fri Sep 26 16:19:48 EDT 2014
STATUS

proposed

approved

#19 by Michel Marcus at Fri Sep 26 07:59:26 EDT 2014
STATUS

editing

proposed

#18 by Michel Marcus at Fri Sep 26 07:59:21 EDT 2014
LINKS

Lance Fortnow, <a href="http://blog.computationalcomplexity.org/2004/03/counting-rationals-quickly.html">Counting the Rationals Quickly</a>, Computational Complexity Weblog, Monday, March 01, 2004.

Yoram Sagher, <a href="http://www.jstor.org/stable/2324846">Counting the rationals</a>, Amer. Math. Monthly, 96 (1989), p. 823. Math. Rev. 90i:04001.

STATUS

approved

editing

#17 by N. J. A. Sloane at Fri Jun 13 13:13:31 EDT 2014
STATUS

editing

approved