A183756 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with equal numbers of 2 X 2 subblocks with sum over 6 and with sum under 6.

44, 888, 888, 8816, 35524, 8816, 193360, 1739668, 1739668, 193360, 2176856, 104016508, 347812760, 104016508, 2176856, 36036868, 5856201636, 81384279968, 81384279968, 5856201636, 36036868, 491791680, 341710892328, 18645030828304

Offset

1,1

Comments

Table starts

............44...............888..................8816..................193360

...........888.............35524...............1739668...............104016508

..........8816...........1739668.............347812760.............81384279968

........193360.........104016508...........81384279968..........71621126116404

.......2176856........5856201636........18645030828304.......65704518455049396

......36036868......341710892328......4383051446506876....61479677322733089492

.....491791680....20208751939268...1039820013995845308.58313648742426351761564

....7982788196..1213346056106724.249468030327963675992

..115288342048.73322848934272924

.1803848495856

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for 4 X 3:
..0..2..0....0..0..2....0..2..2....0..0..2....0..0..0....0..2..0....0..0..0
..0..3..0....0..1..2....0..0..3....0..0..3....3..3..3....0..3..1....2..3..0
..0..2..2....2..3..3....1..2..3....1..3..2....3..0..3....2..1..3....3..2..0
..3..2..3....0..1..3....0..1..3....3..3..2....0..0..2....0..2..1....1..3..2
...
...M..M.......M..M.......M..P.......M..M.......E..E.......M..E.......M..M...
...M..P.......E..P.......M..P.......M..P.......P..P.......E..P.......P..M...
...P..P.......E..P.......M..P.......P..P.......M..M.......M..P.......P..P...

Crossrefs

Sequence in context: A295273 A244998 A159948 * A183750 A133349 A010838

Adjacent sequences: A183753 A183754 A183755 * A183757 A183758 A183759

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 06 2011

Status

approved