A205609 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order

15, 77, 110, 443, 1030, 1024, 2705, 9688, 15896, 9894, 16955, 95564, 229445, 248392, 96288, 108173, 946066, 3750866, 5470216, 3889612, 937926, 698747, 9502090, 57807612, 146904738, 131086803, 60868362, 9140400, 4558985, 96151010

Offset

1,1

Comments

Table starts

.......15..........77...........443............2705.............16955

......110........1030..........9688...........95564............946066

.....1024.......15896........229445.........3750866..........57807612

.....9894......248392.......5470216.......146904738........3504441046

....96288.....3889612.....131086803......5847666690......219511132715

...937926....60868362....3128383392....230158920084....13403364530330

..9140400...953231848...74880118862...9140244711946...833667153942097

.89074638.14922106020.1789102516698.360781344241798.51183941619859368

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

Some solutions for n=4 k=3
..0..0..1..2....0..0..0..0....0..1..2..2....0..0..0..0....0..0..1..0
..3..2..1..3....0..0..0..0....0..1..1..1....0..0..0..0....2..3..3..3
..1..0..2..0....1..1..0..1....3..3..0..3....1..0..1..0....2..2..2..2
..1..3..2..1....0..2..2..1....2..3..3..3....1..3..3..3....1..0..1..3
..3..0..3..2....2..2..1..1....2..0..1..2....1..3..0..3....0..0..1..1

Crossrefs

Column 1 is A205347.

Row 1 is A205433.

Sequence in context: A156941 A205440 A051423 * A257925 A205433 A303097

Adjacent sequences: A205606 A205607 A205608 * A205610 A205611 A205612

Keyword

nonn,tabl

Author

R. H. Hardin Jan 29 2012

Status

approved