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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)