A237945 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the minimum of every 2X2 subblock equal

81, 437, 437, 2417, 5519, 2417, 13893, 70435, 70435, 13893, 81245, 946063, 2020033, 946063, 81245, 482409, 12909207, 61286941, 61286941, 12909207, 482409, 2893685, 178348911, 1871339377, 4202495253, 1871339377, 178348911, 2893685, 17487137

Offset

1,1

Comments

Table starts

.......81.........437...........2417.............13893.................81245

......437........5519..........70435............946063..............12909207

.....2417.......70435........2020033..........61286941............1871339377

....13893......946063.......61286941........4202495253..........287601819479

....81245....12909207.....1871339377......287601819479........43830625875881

...482409...178348911....57597474709....19789034062007......6710777181199757

..2893685..2478121687..1776214151413..1361783640641509...1026737324539406021

.17487137.34547541807.54843034007201.93760075445980377.157146320305650540261

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)

k=2: [order 12]

k=3: [order 23]

k=4: [order 54]

Example

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

Crossrefs

Sequence in context: A237385 A237308 A237301 * A237938 A017630 A270538

Adjacent sequences: A237942 A237943 A237944 * A237946 A237947 A237948

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 16 2014

Status

approved