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

1,1

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

Links

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

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)

Example

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

Crossrefs

Column 1 is A003464(n+1)

Sequence in context: A304953 A293850 A202862 * A043064 A175159 A173828

Adjacent sequences: A229434 A229435 A229436 * A229438 A229439 A229440

Keyword

nonn,tabl

Author

R. H. Hardin Sep 23 2013

Status

approved