A235765 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise

16, 48, 48, 141, 216, 141, 378, 977, 977, 378, 988, 3900, 6882, 3900, 988, 2482, 15197, 41446, 41446, 15197, 2482, 6109, 55816, 242684, 375746, 242684, 55816, 6109, 14712, 199720, 1310058, 3328260, 3328260, 1310058, 199720, 14712, 34896, 691634

Offset

1,1

Comments

Table starts

....16......48.......141.........378...........988.............2482

....48.....216.......977........3900.........15197............55816

...141.....977......6882.......41446........242684..........1310058

...378....3900.....41446......375746.......3328260.........26947867

...988...15197....242684.....3328260......44717902........548550245

..2482...55816...1310058....26947867.....548550245......10315124920

..6109..199720...6840001...210973948....6523068739.....190693042666

.14712..691634..34087789..1565770379...73498947702....3383470907219

.34896.2344746.165068548.11256123354..803300615533...58972454432362

.81612.7785110.775598494.78072050576.8465670858075.1000721111089237

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) -14*a(n-3) +5*a(n-4) +18*a(n-5) -4*a(n-6) -8*a(n-7)

k=2: [order 16]

k=3: [order 54]

Example

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

Crossrefs

Column 1 is A235541

Sequence in context: A208634 A333602 A083307 * A235548 A223440 A223402

Adjacent sequences: A235762 A235763 A235764 * A235766 A235767 A235768

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2014

Status

approved