The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A212342

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A212342

Sequence of coefficients of x^0 in marked mesh pattern generating function Q_{n,132}^(0,3,0,0)(x).
(history; published version)

#46 by R. J. Mathar at Sat Feb 15 15:49:20 EST 2025

STATUS

editing

approved

#45 by R. J. Mathar at Sat Feb 15 15:48:39 EST 2025

DATA

1, 1, 2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 135, 152, 170, 189, 209, 230, 252, 275, 299, 324, 350, 377, 405, 434, 464, 495, 527, 560, 594, 629, 665, 702, 740, 779, 819, 860, 902, 945, 989, 1034, 1080, 1127, 1175, 1224, 1274, 1325, 1377, 1430, 1484, 1539, 1595, 1652, 1710, 1769, 1829, 1890, 1952, 2015, 2079, 2144, 2210, 2277, 2345, 2414, 2484, 2555, 2627, 2700, 2774

#44 by R. J. Mathar at Sat Feb 15 15:48:07 EST 2025

DATA

LINKS

S. Kitaev, J. Remmel and M. Tiefenbruck, <a href="http://arxiv.org/abs/1201.6243">Marked mesh patterns in 132-avoiding permutations I</a>, arXiv preprint arXiv:1201.6243 [math.CO], 2012. Sect 5.1 gives rational g.f.

FORMULA

Conjecture: for For n>=2, a(n)=(n^2+n-2)/2. - Robert Price, Jun 02 2012

Conjecture: for For n>=5, a(n)=3*a(n-1)-3*a(n-2)+a(n-3). G.f.: (1-2*x+2*x^2+x^3-x^4)/(1-x)^3. - Colin Barker, Jul 06 2012

KEYWORD

nonn,more,easy,changed

#43 by R. J. Mathar at Sat Feb 15 15:42:48 EST 2025

CROSSREFS

Cf. A000096, A132337, A212346.

STATUS

approved

editing

#42 by N. J. A. Sloane at Sat Sep 10 08:26:34 EDT 2016

STATUS

editing

approved

#41 by N. J. A. Sloane at Sat Sep 10 08:26:31 EDT 2016

CROSSREFS

Cf. A132337, A212346.

STATUS

approved

editing

#40 by N. J. A. Sloane at Sat Sep 10 08:26:05 EDT 2016

STATUS

editing

approved

#39 by N. J. A. Sloane at Sat Sep 10 08:26:03 EDT 2016

COMMENTS

A201163 is similar. - Robert Price, Jun 02 2012

CROSSREFS

A201163 is similar. - Robert Price, Jun 02 2012

STATUS

approved

editing

#38 by Bruno Berselli at Thu Jan 28 03:14:16 EST 2016

STATUS

proposed

approved

#37 by Michel Marcus at Thu Jan 28 03:12:59 EST 2016

STATUS

editing

proposed