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Revision History for A168344

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A168344 G.f. A(x) satisfies: A(x) = G(x*A(x)) where A(x/G(x)) = G(x) = g.f. of A006664, which is the number of irreducible systems of meanders.
(history; published version)
#11 by Michel Marcus at Sat Jul 21 04:22:39 EDT 2018
STATUS

reviewed

approved

#10 by Joerg Arndt at Sat Jul 21 04:10:03 EDT 2018
STATUS

proposed

reviewed

#9 by Jean-François Alcover at Sat Jul 21 03:55:43 EDT 2018
STATUS

editing

proposed

#8 by Jean-François Alcover at Sat Jul 21 03:55:39 EDT 2018
MATHEMATICA

F[x_] = (Hypergeometric2F1[-1/2, -1/2, 1, 16x] - 1)/(4x);

A[x_] = x/InverseSeries[x F[x] + O[x]^21, x];

CoefficientList[A[x], x] (* Jean-François Alcover, Jul 21 2018, from 2nd formula *)

STATUS

approved

editing

#7 by Bruno Berselli at Tue Jul 08 16:57:50 EDT 2014
STATUS

reviewed

approved

#6 by Michel Marcus at Tue Jul 08 13:28:51 EDT 2014
STATUS

proposed

reviewed

#5 by Joerg Arndt at Tue Jul 08 13:12:43 EDT 2014
STATUS

editing

proposed

#4 by Joerg Arndt at Tue Jul 08 05:25:33 EDT 2014
COMMENTS

Number of b^* n-strand braids of length at most 2, see the Biane/Dehornoy reference. - Joerg Arndt, Jul 08 2014

#3 by Joerg Arndt at Tue Jul 08 05:17:25 EDT 2014
LINKS

Philippe Biane, Patrick Dehornoy, <a href="http://arxiv.org/abs/1407.1604">Dual Garside structure of braids and free cumulants of products</a>, arXiv:1407.1604 [math.CO], (7-July-2014)

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:37:20 EDT 2012
CROSSREFS

Cf. A168450 (variant). [From _Paul D. Hanna (pauldhanna(AT)juno.com), _, Nov 29 2009]

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Nov 23 2009

EXTENSIONS

Typo in formula corrected by _Paul D. Hanna (pauldhanna(AT)juno.com), _, Nov 24 2009

Discussion
Fri Mar 30 18:37
OEIS Server: https://oeis.org/edit/global/213

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Last modified August 18 18:19 EDT 2024. Contains 375273 sequences. (Running on oeis4.)