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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 (list; table; graph; refs; listen; history; text; internal format)
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: A016304 A016849 A300077 * A183555 A232415 A016297

Adjacent sequences:  A232411 A232412 A232413 * A232415 A232416 A232417

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 23 2013

STATUS

approved

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Last modified November 27 12:03 EST 2021. Contains 349394 sequences. (Running on oeis4.)