A232414 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal, diagonal or antidiagonal neighbor

15, 159, 109, 973, 2689, 611, 6477, 44971, 48971, 3635, 46713, 876881, 2189991, 890283, 21717, 334521, 18073053, 119994763, 107913855, 16262989, 129323, 2375879, 366033741, 7049296087, 16776955943, 5322933313, 296516955, 770747

Offset

1,1

Comments

Table starts

.....15........159............973..............6477.................46713

....109.......2689..........44971............876881..............18073053

....611......48971........2189991.........119994763............7049296087

...3635.....890283......107913855.......16776955943.........2832909399671

..21717...16262989.....5322933313.....2346397695011......1137726954093673

.129323..296516955...262249675165...327861770666547....456432801562470697

.770747.5408696699.12924602609687.45820119635323263.183153958944323007479

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 14]

k=3: [order 64]

Empirical for row n:

n=1: [linear recurrence of order 10]

n=2: [order 34]

Example

Some solutions for n=2 k=4
..0..0..1..2..1....0..0..0..1..1....0..0..1..1..2....0..0..1..1..1
..0..2..2..1..1....0..2..2..2..1....0..0..2..2..2....0..1..2..1..1
..2..0..1..1..1....2..1..1..1..2....0..1..0..2..2....1..2..2..1..1

Crossrefs

Column 1 is A232117

Sequence in context: A016849 A300077 A367497 * A183555 A232415 A016297

Adjacent sequences: A232411 A232412 A232413 * A232415 A232416 A232417

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 23 2013

Status

approved