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

Author

R. H. Hardin Sep 02 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A055244