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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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 04 2012
STATUS
approved