A237965 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 340, 340, 1422, 1944, 1422, 6042, 10942, 10942, 6042, 25777, 64146, 81483, 64146, 25777, 109200, 378532, 645156, 645156, 378532, 109200, 462852, 2202258, 5242451, 7259122, 5242451, 2202258, 462852, 1962464, 12775098, 41361664, 84562206

Offset

1,1

Comments

Table starts

.......81........340.........1422...........6042............25777

......340.......1944........10942..........64146...........378532

.....1422......10942........81483.........645156..........5242451

.....6042......64146.......645156........7259122.........84562206

....25777.....378532......5242451.......84562206.......1421887147

...109200....2202258.....41361664......940160466......22274482472

...462852...12775098....324579268....10256817488.....341724039082

..1962464...74571092...2567231540...114442690994....5408347744632

..8337456..435574126..20445704700..1289184763590...87004865397990

.35340888.2537879368.161413538260.14363355184818.1370936608541092

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 216*a(n-4) +1692*a(n-6) +4288*a(n-8) +3968*a(n-10) +1024*a(n-12)

k=2: [order 24]

k=3: [order 82] for n>83

Example

Some solutions for n=3 k=4
..0..1..1..1..1....0..2..0..1..1....0..0..1..1..2....0..2..0..2..1
..0..1..0..0..1....0..1..1..1..1....0..0..1..0..2....0..1..2..2..2
..0..2..1..2..2....0..0..1..1..0....1..1..1..0..1....2..2..1..2..0
..1..1..2..2..0....1..2..2..1..0....2..1..1..1..0....0..0..1..1..2

Crossrefs

Sequence in context: A237861 A236902 A236895 * A238046 A237958 A238039

Adjacent sequences: A237962 A237963 A237964 * A237966 A237967 A237968

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 16 2014

Status

approved