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A232124 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with every element both >= and <= some horizontal or vertical neighbor. 8
15, 109, 109, 611, 1667, 611, 3635, 26029, 26029, 3635, 21717, 411015, 1060647, 411015, 21717, 129323, 6462505, 44229031, 44229031, 6462505, 129323, 770747, 101738935, 1841606457, 4894583715, 1841606457, 101738935, 770747, 4593729 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......15.........109.............611...............3635..................21717

.....109........1667...........26029.............411015................6462505

.....611.......26029.........1060647...........44229031.............1841606457

....3635......411015........44229031.........4894583715...........539351064745

...21717.....6462505......1841606457.......539351064745........157357630962031

..129323...101738935.....76671235227.....59455853081501......45923654534440885

..770747..1601238913...3192300139421...6554255427911017...13402622472944146617

.4593729.25202545399.132915745358065.722517279545733561.3911492760590744026197

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 9].

k=2: [order 35].

EXAMPLE

Some solutions for n=2, k=4

..0..0..0..2..2....0..0..0..0..0....0..0..0..1..1....0..0..0..2..2

..0..1..2..0..0....0..0..2..2..2....0..1..0..0..2....1..1..2..1..1

..1..1..2..2..2....0..0..1..1..1....0..1..1..2..2....0..0..2..1..1

CROSSREFS

Sequence in context: A293263 A202255 A243212 * A232204 A232117 A232197

Adjacent sequences:  A232121 A232122 A232123 * A232125 A232126 A232127

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 19 2013

STATUS

approved

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Last modified August 19 11:12 EDT 2022. Contains 356228 sequences. (Running on oeis4.)