A229437 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.

7, 43, 43, 259, 1213, 259, 1555, 31111, 31111, 1555, 9331, 775213, 2985887, 775213, 9331, 55987, 19122559, 262875231, 262875231, 19122559, 55987, 335923, 469959685, 22257074415, 74760946845, 22257074415, 469959685, 335923, 2015539

Offset: 1

Author

R. H. Hardin Sep 23 2013

Keywords

• nonn
• tabl

Comments

Table starts

........7............43.................259....................1555

.......43..........1213...............31111..................775213

......259.........31111.............2985887...............262875231

.....1555........775213...........262875231.............74760946845

.....9331......19122559.........22257074415..........19598169849191

....55987.....469959685.......1848069959519........4960640065587845

...335923...11533872679.....151774667013519.....1235565258789975999

..2015539..282921116029...12382804872500671...305000184885228282189

.12093235.6938596265551.1006185589087041647.74877571723905905928727

Examples

			Some solutions for n=2 k=4
..0..2..4..3....3..3..1..0....0..0..2..1....0..2..5..1....3..0..0..2
..3..4..1..0....6..4..3..3....1..2..2..0....1..2..3..4....3..2..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..84

Crossrefs

Column 1 is A003464(n+1)

Formula

Empirical for column k:

k=1: a(n) = 7*a(n-1) -6*a(n-2)

k=2: a(n) = 37*a(n-1) -342*a(n-2) +936*a(n-3) -1296*a(n-4)