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

1,1

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

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)+18027792*a(n-15)-56197152*a(n-16)+103028112*a(n-17)-89177760*a(n-18)+197883648*a(n-19)-362786688*a(n-20)+256296960*a(n-21)-350479872*a(n-22)+642546432*a(n-23)-390790656*a(n-24)+241864704*a(n-25)-443418624*a(n-26)+241864704*a(n-27)

Example

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

Crossrefs

Sequence in context: A284981 A341358 A087415 * A184469 A088010 A145753

Adjacent sequences: A184474 A184475 A184476 * A184478 A184479 A184480

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2011

Status

approved