The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A194778 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A194778

T(n,k)=Number of lower triangles of an (n+2k-2)X(n+2k-2) 0..k array with new values introduced in row major order 0..k and no element unequal to more than one horizontal or vertical neighbor
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:22 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Sep 02 2011

Discussion

Sat Mar 31

12:36

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Fri Sep 02 18:56:01 EDT 2011

STATUS

editing

approved

#3 by Ron Hardin at Fri Sep 02 18:55:56 EDT 2011

LINKS

R. H. Hardin, <a href="/A194778/b194778.txt">Table of n, a(n) for n = 1..120</a>

#2 by Ron Hardin at Fri Sep 02 18:54:58 EDT 2011

NAME

allocated for Ron HardinT(n,k)=Number of lower triangles of an (n+2k-2)X(n+2k-2) 0..k array with new values introduced in row major order 0..k and no element unequal to more than one horizontal or vertical neighbor

DATA

1, 7, 3, 43, 17, 6, 268, 105, 41, 12, 1740, 672, 265, 95, 23, 11862, 4490, 1736, 655, 219, 43, 85013, 31466, 11857, 4464, 1641, 493, 79, 639760, 231445, 85007, 31429, 11686, 4069, 1101, 143, 5045610, 1784788, 639753, 231395, 84727, 30608, 10121, 2427, 256

OFFSET

1,2

COMMENTS

Table starts

...1....7....43....268....1740....11862.....85013.....639760....5045610

...3...17...105....672....4490....31466....231445....1784788...14404218

...6...41...265...1736...11857....85007....639753....5045602...41615156

..12...95...655...4464...31429...231395...1784723...14404136..121420974

..23..219..1641..11686...84727...639325...5044981...41614291..358184223

..43..493..4069..30608..229869..1782111..14399939..121414559.1066897441

..79.1101.10121..80961..631373..5029741..41587186..358138793.3210593393

.143.2427.25025.214469.1745459.14321783.121261490.1066617315

EXAMPLE

Some solutions for n=2 k=2

..0........0........0........0........0........0........0........0

..0.0......0.0......1.1......1.1......0.0......1.1......0.1......0.0

..1.1.1....0.0.1....1.1.2....1.1.1....0.0.0....1.1.1....0.1.1....0.0.0

..1.1.1.0..0.0.1.1..1.1.2.2..0.0.0.0..0.0.0.1..2.2.2.2..0.1.1.0..1.1.1.1

CROSSREFS

Column 1 is A055244

KEYWORD

allocated

nonn,tabl

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Sep 02 2011

STATUS

approved

editing

#1 by Ron Hardin at Fri Sep 02 18:46:06 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved