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A203732 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements 4
960, 14400, 14400, 216000, 539456, 216000, 3240000, 19071424, 19071424, 3240000, 48600000, 681461824, 1754118528, 681461824, 48600000, 729000000, 24301391808, 161916229056, 161916229056, 24301391808, 729000000, 10935000000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..........960..........14400...........216000..........3240000.........48600000

........14400.........539456.........19071424........681461824......24301391808

.......216000.......19071424.......1754118528.....161916229056...14950234495680

......3240000......681461824.....161916229056...39986164706496.9889622728751424

.....48600000....24301391808...14950234495680.9889622728751424

....729000000...866928276544.1380434809882752

..10935000000.30924651270080

.164025000000

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..40

FORMULA

Empirical for column k:

k=1: a(n) = 64*15^n

k=2: a(n) = 29*a(n-1) +238*a(n-2)

k=3: a(n) = 99*a(n-1) -609*a(n-2) -588*a(n-3)

k=4: a(n) = 141*a(n-1) +34391*a(n-2) -1914087*a(n-3) -5360404*a(n-4) +185626112*a(n-5) +226020536*a(n-6) -801895584*a(n-7)

EXAMPLE

Some solutions for n=4 k=3

..4..0..2..1....2..3..7..4....0..4..1..2....3..2..0..1....4..7..7..3

..1..4..0..2....4..2..3..7....0..0..4..1....0..3..2..0....2..4..7..7

..0..1..4..0....6..4..2..3....5..0..0..4....7..0..3..2....0..2..4..7

..2..0..1..4....6..6..4..2....1..5..0..0....1..7..0..3....3..0..2..4

..5..2..0..1....1..6..6..4....5..0..3..0....5..1..7..0....7..3..0..2

CROSSREFS

Sequence in context: A057666 A046788 A206079 * A157851 A278011 A282012

Adjacent sequences:  A203729 A203730 A203731 * A203733 A203734 A203735

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 05 2012

STATUS

approved

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Last modified August 23 22:45 EDT 2019. Contains 326254 sequences. (Running on oeis4.)