

A179618


T(n,k)=Half the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal sum differing from its antidiagonal sum by more than 2


1



5, 11, 11, 21, 35, 21, 43, 93, 93, 43, 85, 269, 314, 269, 85, 171, 747, 1213, 1213, 747, 171, 341, 2115, 4375, 6427, 4375, 2115, 341, 683, 5933, 16334, 31387, 31387, 16334, 5933, 683, 1365, 16717, 59925, 159651, 202841, 159651, 59925, 16717, 1365, 2731
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

T(n,k) apparently is also the number of ways to tile a (n+2)X(k+2) rectangle with 1X1 and 2X2 tiles
Table starts
....5.....11......21........43.........85.........171...........341
...11.....35......93.......269........747........2115..........5933
...21.....93.....314......1213.......4375.......16334.........59925
...43....269....1213......6427......31387......159651........795611
...85....747....4375.....31387.....202841.....1382259.......9167119
..171...2115...16334....159651....1382259....12727570.....113555791
..341...5933...59925....795611....9167119...113555791....1355115601
..683..16717..221799...4005785...61643709..1029574631...16484061769
.1365..47003..817280..20064827..411595537..9258357134..198549329897
.2731.132291.3018301.100764343.2758179839.83605623809.2403674442213


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..839


EXAMPLE

Some solutions for 6X6
..0..2..0..2..0..2....0..1..0..2..1..2....0..2..0..2..0..2....0..1..0..2..0..1
..2..0..2..0..2..1....2..0..2..0..2..0....2..0..1..0..1..0....2..0..2..0..2..0
..0..2..0..2..0..2....1..2..1..2..0..2....0..2..0..2..0..2....0..2..0..2..0..2
..2..0..2..0..2..1....2..0..2..0..1..0....1..0..2..0..2..0....1..0..2..0..2..0
..0..2..0..2..0..2....0..2..0..2..0..2....0..2..0..2..0..2....0..2..1..2..1..2
..1..0..1..0..1..0....2..1..2..1..2..0....2..1..2..1..2..1....2..0..2..0..2..0


CROSSREFS

Diagonal is A063443(n+2)
Column 1 is A001045(n+3)
Column 2 is A054854(n+2)
Column 3 is A054855(n+2)
Column 4 is A063650(n+2)
Column 5 is A063651(n+2)
Column 6 is A063652(n+2)
Column 7 is A063653(n+2)
Column 8 is A063654(n+2)
Sequence in context: A181667 A060846 A113002 * A058197 A289464 A289580
Adjacent sequences: A179615 A179616 A179617 * A179619 A179620 A179621


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 10 2011


STATUS

approved



