|
%I #4 Jan 30 2014 07:30:29
%S 81,267,267,833,1411,833,2907,7377,7377,2907,10233,46377,68839,46377,
%T 10233,37467,300555,810039,810039,300555,37467,139201,2045011,9665961,
%U 17740369,9665961,2045011,139201,526395,14169625,119169209,385709603
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock equal
%C Table starts
%C ......81........267...........833.............2907...............10233
%C .....267.......1411..........7377............46377..............300555
%C .....833.......7377.........68839...........810039.............9665961
%C ....2907......46377........810039.........17740369...........385709603
%C ...10233.....300555.......9665961........385709603.........14977205669
%C ...37467....2045011.....119169209.......8588436417........593841590295
%C ..139201...14169625....1475983975.....191076235235......23440803949645
%C ..526395...99629489...18374935939....4264088666817.....927678773727315
%C .2012217..705755971..229046649189...95158587393555...36689437705628373
%C .7766523.5023764027.2857763330357.2124503121319369.1451552556039929475
%H R. H. Hardin, <a href="/A236746/b236746.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 9]
%F k=2: [order 18]
%F k=3: [order 38]
%F k=4: [order 86]
%e Some solutions for n=3 k=4
%e ..0..1..0..1..1....0..0..0..0..0....0..1..0..1..0....0..1..1..1..2
%e ..1..1..1..2..0....2..0..1..0..0....1..1..1..1..1....1..1..2..1..0
%e ..0..2..1..0..2....0..0..0..0..2....2..0..1..0..2....0..1..1..1..2
%e ..2..0..1..2..0....0..0..2..0..0....0..2..1..1..1....1..1..2..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
| 