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Revision History for A068875 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Expansion of (1 + x*C)*C, where C = (1 - (1 - 4*x)^(1/2))/(2*x) is the g.f. for Catalan numbers, A000108.
(history; published version)
#138 by Michael De Vlieger at Wed Jan 10 23:54:15 EST 2024
STATUS

reviewed

approved

#137 by Jon E. Schoenfield at Wed Jan 10 23:49:29 EST 2024
STATUS

proposed

reviewed

#136 by Jon E. Schoenfield at Wed Jan 10 23:49:23 EST 2024
STATUS

editing

proposed

#135 by Jon E. Schoenfield at Wed Jan 10 23:49:12 EST 2024
COMMENTS

For n >= 1, a(n) is the number of Dyck paths of size n+2, whose corresponding unit interval graph has P3-hull number equal to 2. This result is due to Alrik Sandberg. - Per W. Alexandersson, Jan 09 2024

FORMULA

a(n+1) = a(n) + (1/2)*(Sum_{k=0}^..n } a(k)*a(n-k)) if n > 0. - Michael Somos, Apr 22 2022

STATUS

reviewed

editing

#134 by Joerg Arndt at Wed Jan 10 23:35:58 EST 2024
STATUS

proposed

reviewed

#133 by Michel Marcus at Tue Jan 09 08:14:28 EST 2024
STATUS

editing

proposed

#132 by Michel Marcus at Tue Jan 09 08:14:07 EST 2024
COMMENTS

For n>=1, a(n) is the number of Dyck paths of size n+2, whose corresponding unit interval graph has P3-hull number equal to 2. This result is due to Alrik Sandberg. - Per W. Alexandersson, Jan 09 2024

For n>=1, a(n) is the number of Dyck paths of size n+2, whose corresponding unit interval graph has P3-hull number equal to 2. This result is due to Alrik Sandberg. - Per W. Alexandersson, Jan 09 2024

STATUS

proposed

editing

Discussion
Tue Jan 09
08:14
Michel Marcus: chronologic
#131 by Per W. Alexandersson at Tue Jan 09 07:49:55 EST 2024
STATUS

editing

proposed

#130 by Per W. Alexandersson at Tue Jan 09 07:48:54 EST 2024
COMMENTS

For n>=1, a(n) is the number of Dyck paths of size n+2, whose corresponding unit interval graph has P3-hull number equal to 2. This result is due to Alrik Sandberg. - _Per W. Alexandersson_, Jan 09 2024

Per W. Alexandersson, Jan 09 2024

Discussion
Tue Jan 09
07:49
Per W. Alexandersson: This result is part of Alrik's bachelor thesis. It will be publicly available a few weeks from now (and then i'll add a reference with url).
#129 by Per W. Alexandersson at Tue Jan 09 07:48:05 EST 2024
COMMENTS

For n>=1, a(n) is the number of Dyck paths of size n+2, whose corresponding unit interval graph has P3-hull number equal to 2. This result is due to Alrik Sandberg.

Per W. Alexandersson, Jan 09 2024

STATUS

approved

editing