A184457 - OEIS

A184457

T(n,k)=1/36 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing two of one value, two of another, and five of the last

63, 234, 234, 864, 600, 864, 3159, 1591, 1591, 3159, 12879, 4517, 3125, 4517, 12879, 51759, 16029, 6880, 6880, 16029, 51759, 203391, 58413, 20706, 11766, 20706, 58413, 203391, 898857, 216477, 67180, 28668, 28668, 67180, 216477, 898857, 3877551

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OFFSET

1,1

COMMENTS

Table starts

.......63......234......864.....3159...12879...51759.203391..898857.3877551

......234......600.....1591.....4517...16029...58413.216477..930657.3947025

......864.....1591.....3125.....6880...20706...67180.232326..967138.4023354

.....3159.....4517.....6880....11766...28668...80058.253176.1011114.4109928

....12879....16029....20706....28668...53350..116832.309042.1119528.4313386

....51759....58413....67180....80058..116832..196974.413100.1288638

...203391...216477...232326...253176..309042..413100.660654

...898857...930657...967138..1011114.1119528.1288638

..3877551..3947025..4023354..4109928.4313386

.16120377.16260821.16410550.16573530

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..96

FORMULA

Empirical for columns 2 to at least 4: a(n)=6*a(n-1)-11*a(n-2)+195*a(n-3)-1134*a(n-4)+2079*a(n-5)-11600*a(n-6)+62796*a(n-7)-115126*a(n-8)+263520*a(n-9)-1204344*a(n-10)+2207964*a(n-11)-2907648*a(n-12)+10219824*a(n-13)-18736344*a(n-14)+17243280*a(n-15)-42140736*a(n-16)+77258016*a(n-17)-55857600*a(n-18)+82301184*a(n-19)-150885504*a(n-20)+92378880*a(n-21)-60466176*a(n-22)+110854656*a(n-23)-60466176*a(n-24)

EXAMPLE

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

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

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

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

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

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

CROSSREFS

Sequence in context: A038644 A083079 A230651 * A184449 A158676 A157948

Adjacent sequences: A184454 A184455 A184456 * A184458 A184459 A184460

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 14 2011

STATUS

approved