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%I #4 Sep 23 2013 07:21:23
%S 7,43,43,259,1213,259,1555,31111,31111,1555,9331,775213,2985887,
%T 775213,9331,55987,19122559,262875231,262875231,19122559,55987,335923,
%U 469959685,22257074415,74760946845,22257074415,469959685,335923,2015539
%N T(n,k)=Number of nXk 0..6 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..2 array
%C Table starts
%C ........7............43.................259....................1555
%C .......43..........1213...............31111..................775213
%C ......259.........31111.............2985887...............262875231
%C .....1555........775213...........262875231.............74760946845
%C .....9331......19122559.........22257074415..........19598169849191
%C ....55987.....469959685.......1848069959519........4960640065587845
%C ...335923...11533872679.....151774667013519.....1235565258789975999
%C ..2015539..282921116029...12382804872500671...305000184885228282189
%C .12093235.6938596265551.1006185589087041647.74877571723905905928727
%H R. H. Hardin, <a href="/A229437/b229437.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: a(n) = 7*a(n-1) -6*a(n-2)
%F k=2: a(n) = 37*a(n-1) -342*a(n-2) +936*a(n-3) -1296*a(n-4)
%e Some solutions for n=2 k=4
%e ..0..2..4..3....3..3..1..0....0..0..2..1....0..2..5..1....3..0..0..2
%e ..3..4..1..0....6..4..3..3....1..2..2..0....1..2..3..4....3..2..0..1
%Y Column 1 is A003464(n+1)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Sep 23 2013
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