A206169 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order.

15, 85, 102, 641, 1070, 870, 5257, 14182, 17142, 7566, 44585, 196078, 463878, 238182, 68342, 385465, 2728486, 13899222, 10599630, 3814022, 609086, 3375401, 38016046, 431954406, 526154358, 345652310, 53494742, 5514982, 29817817, 529805350

Offset

1,1

Comments

Table starts

.......15..........85...........641.............5257.............44585

......102........1070.........14182...........196078...........2728486

......870.......17142........463878.........13899222.........431954406

.....7566......238182......10599630........526154358.......26687737998

....68342.....3814022.....345652310......37242588902.....4224315021758

...609086....53494742....7934434238....1412613762182...261163772277422

..5514982...850283062..257597022598...99795262195942.41314757480152390

.49362414.12012206406.5939045721006.3792559398258150

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

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

Crossrefs

Column 1 is A205424.

Sequence in context: A020136 A176033 A067401 * A160599 A091286 A176070

Adjacent sequences: A206166 A206167 A206168 * A206170 A206171 A206172

Keyword

nonn,tabl

Author

R. H. Hardin Feb 04 2012

Status

approved