A184477 T(n,k)=1/6 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last.

315, 1095, 1095, 3705, 2755, 3705, 12339, 7085, 7085, 12339, 45585, 19119, 14119, 19119, 45585, 161739, 62213, 30681, 30681, 62213, 161739, 559305, 200215, 86575, 53739, 86575, 200215, 559305, 2147931, 645837, 249953, 127689, 127689, 249953

Offset: 1

Author

R. H. Hardin Jan 15 2011

Keywords

• nonn
• tabl

Comments

Table starts

......315.....1095.....3705....12339....45585..161739..559305.2147931..7836561

.....1095.....2755.....7085....19119....62213..200215..645837.2386807..8440325

.....3705.....7085....14119....30681....86575..249953..747735.2652785..9085231

....12339....19119....30681....53739...127689..322275..878625.2967411..9800745

....45585....62213....86575...127689...247879..520289.1219455.3727073.11454631

...161739...200215...249953...322275...520289..904411.1782585.4808779.13539521

...559305...645837...747735...878625..1219455.1782585.2909367

..2147931..2386807..2652785..2967411..3727073.4808779

..7836561..8440325..9085231..9800745.11454631

.27667251.29121087.30632409.32238603

Examples

			Some solutions with a(1,1)=0 for 5X4
..0..0..1..0....0..1..2..0....0..0..2..0....0..1..1..0....0..1..1..0
..0..1..1..2....0..2..0..0....0..2..0..0....0..1..0..0....0..1..0..0
..2..1..0..0....0..2..2..0....1..2..2..1....2..1..0..2....0..2..1..0
..1..0..0..1....0..2..1..0....0..0..2..0....1..1..0..1....1..0..1..1
..0..1..1..2....0..2..0..0....2..0..0..2....1..0..0..1....1..0..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for columns 3 to at least 4: a(n)=6*a(n-1)-11*a(n-2)+129*a(n-3)-738*a(n-4)+1353*a(n-5)-6290*a(n-6)+33312*a(n-7)-61072*a(n-8)+155640*a(n-9)-733968*a(n-10)+1345608*a(n-11)-2177568*a(n-12)+8661600*a(n-13)-15879600*a(n-14)[phone]*a(n-15)-56197152*a(n-16)[phone]*a(n-17)-89177760*a(n-18)[phone]*a(n-19)-362786688*a(n-20)[phone]*a(n-21)-350479872*a(n-22)[phone]*a(n-23)-390790656*a(n-24)[phone]*a(n-25)-443418624*a(n-26)[phone]*a(n-27)