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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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 23 2013
STATUS
approved