The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A004149 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A004149

Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=2..n-1} a(k)*a(n-1-k).
(history; published version)

#113 by Alois P. Heinz at Mon Jan 27 10:14:23 EST 2025

STATUS

proposed

approved

#112 by Michel Marcus at Mon Jan 27 10:12:39 EST 2025

STATUS

editing

proposed

#111 by Michel Marcus at Mon Jan 27 10:12:06 EST 2025

NAME

Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=2..n-1} a(k)*a(n-1-k).

STATUS

proposed

editing

#110 by Michael De Vlieger at Mon Jan 27 10:05:20 EST 2025

STATUS

editing

proposed

#109 by Michael De Vlieger at Mon Jan 27 10:05:15 EST 2025

LINKS

T. Doslic, D. Tomislav Došlić, Dragutin Svrtan , and D. Darko Veljan, <a href="http://dx.doi.org/10.1016/j.disc.2004.04.001">Enumerative aspects of secondary structures</a>, Discr. Math., 285 (2004), 67-82.

Helmut Prodinger, <a href="https://arxiv.org/abs/2501.13645">Cornerless, peakless, valleyless Motzkin paths (regular and skew) and applications to bargraphs</a>, arXiv:2501.13645 [math.CO], 2025. See p. 8.

E. J. J. Janse van Rensburg, <a href="http://dx.doi.org/10.1088/0305-4470/38/40/003">Adsorbing bargraph paths in a q-wedge</a>, Journal of Physics A, v.38 n.40, 8505-8525.

STATUS

approved

editing

#108 by Jon E. Schoenfield at Sun Oct 29 21:00:30 EDT 2023

STATUS

editing

approved

#107 by Jon E. Schoenfield at Sun Oct 29 21:00:23 EDT 2023

LINKS

T. D. Noe and Seiichi Manyama, <a href="/A004149/b004149.txt">Table of n, a(n) for n = 0..2626</a> (first 201 terms from T. D. Noe)

STATUS

approved

editing

#106 by Michael De Vlieger at Tue Oct 24 12:39:49 EDT 2023

STATUS

reviewed

approved

#105 by Michel Marcus at Tue Oct 24 12:37:24 EDT 2023

STATUS

proposed

reviewed

#104 by Michael De Vlieger at Tue Oct 24 12:15:59 EDT 2023

STATUS

editing

proposed