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A188837 T(n,m)=Number of (n+1)X6 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors 1
106, 966, 128, 4895, 903, 270, 17608, 3442, 3190, 449, 50755, 10259, 20224, 4875, 797, 125368, 23790, 89650, 25633, 13278, 1061, 275175, 48875, 306279, 100789, 107353, 16083, 1681, 553211, 91096, 877068, 285899, 575344, 108025, 40626, 2285, 1033069 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..106....966....4895....17608....50755....125368.....275175.....553211

..128....903....3442....10259....23790.....48875......91096.....160377

..270...3190...20224....89650...306279....877068....2196353....4964919

..449...4875...25633...100789...285899....696553....1510299....3080551

..797..13278..107353...575344..2297416...7513081...21122896...52962480

.1061..16083..108025...510469..1702449...4754437...11602073...26225513

.1681..40626..433513..2895594.13845490..52753837..169362234..477196301

.2285..52755..479785..2857149.11562609..38012473..106808569..272285867

.3681.129102.1793817.14788974.84196426.372605789.1363387642.4314623879

.5281.182841.2226665.16533319.80688693.310706825.1001273881.2871421085

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1718

FORMULA

Empirical for column m: a(n) = 2*a(n-1) +(m-1)*a(n-2) -2*m*a(n-3) +2*m*a(n-4) -m*a(n-5) for n>(10+2*A072649(m)), except n>11 for m=1

Empirical more generally for column m of T(n,m,k) for (n+1)X(k+1) 0..m arrays: a(n) = 2*a(n-1) +(m-1)*a(n-2) -2*m*a(n-3) +2*m*a(n-4) -m*a(n-5) for n>(k+5+2*A072649(m)), except n>(k+4+2*A072649(m)) for m=1 and k>1

EXAMPLE

Some solutions for n=3 m=3

..1..1..0..3..0..0....3..0..0..1..0..2....2..2..0..2..0..3....2..0..0..2..0..2

..1..0..1..0..3..0....3..0..0..0..1..0....0..0..2..0..2..0....2..0..0..0..2..0

..0..1..0..1..0..3....0..3..0..0..0..1....0..0..0..2..0..2....0..2..0..0..0..2

..1..0..1..0..1..3....2..0..3..0..0..2....1..0..0..0..2..0....2..0..2..0..0..1

CROSSREFS

Sequence in context: A090037 A187588 A051974 * A184217 A184209 A233047

Adjacent sequences:  A188834 A188835 A188836 * A188838 A188839 A188840

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 12 2011

STATUS

approved

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Last modified October 3 10:58 EDT 2022. Contains 357231 sequences. (Running on oeis4.)