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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. 8

%I

%S 44,888,888,8816,35524,8816,193360,1739668,1739668,193360,2176856,

%T 104016508,347812760,104016508,2176856,36036868,5856201636,

%U 81384279968,81384279968,5856201636,36036868,491791680,341710892328,18645030828304

%N 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.

%C Table starts

%C ............44...............888..................8816..................193360

%C ...........888.............35524...............1739668...............104016508

%C ..........8816...........1739668.............347812760.............81384279968

%C ........193360.........104016508...........81384279968..........71621126116404

%C .......2176856........5856201636........18645030828304.......65704518455049396

%C ......36036868......341710892328......4383051446506876....61479677322733089492

%C .....491791680....20208751939268...1039820013995845308.58313648742426351761564

%C ....7982788196..1213346056106724.249468030327963675992

%C ..115288342048.73322848934272924

%C .1803848495856

%H R. H. Hardin, <a href="/A183756/b183756.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for 4 X 3:

%e ..0..2..0....0..0..2....0..2..2....0..0..2....0..0..0....0..2..0....0..0..0

%e ..0..3..0....0..1..2....0..0..3....0..0..3....3..3..3....0..3..1....2..3..0

%e ..0..2..2....2..3..3....1..2..3....1..3..2....3..0..3....2..1..3....3..2..0

%e ..3..2..3....0..1..3....0..1..3....3..3..2....0..0..2....0..2..1....1..3..2

%e ...

%e ...M..M.......M..M.......M..P.......M..M.......E..E.......M..E.......M..M...

%e ...M..P.......E..P.......M..P.......M..P.......P..P.......E..P.......P..M...

%e ...P..P.......E..P.......M..P.......P..P.......M..M.......M..P.......P..P...

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 06 2011

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Last modified October 30 18:13 EDT 2020. Contains 338090 sequences. (Running on oeis4.)