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

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

Links

R. H. Hardin, Table of n, a(n) for n = 1..120

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

Sequence in context: A272419 A272156 A271815 * A272010 A145758 A038269

Adjacent sequences: A194775 A194776 A194777 * A194779 A194780 A194781

Keyword

nonn,tabl

Author

R. H. Hardin Sep 02 2011

Status

approved