A235742 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise

81, 576, 576, 3992, 9710, 3992, 26088, 160075, 160075, 26088, 167892, 2423417, 6175786, 2423417, 167892, 1060410, 36199157, 216691834, 216691834, 36199157, 1060410, 6648825, 523547651, 7433913626, 17653658980, 7433913626, 523547651

Offset

1,1

Comments

Table starts

.......81..........576............3992..............26088..............167892

......576.........9710..........160075............2423417............36199157

.....3992.......160075.........6175786..........216691834..........7433913626

....26088......2423417.......216691834........17653658980.......1402427258099

...167892.....36199157......7433913626......1402427258099.....257369376150524

..1060410....523547651....244518790287....106304515215910...45081614802280999

..6648825...7519969703...7937748092921...7914658615624380.7733449708119520219

.41411637.106697433668.252930693591705.575146083513956152

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: [linear recurrence of order 12]

k=2: [order 78]

Example

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

Crossrefs

Sequence in context: A139156 A237035 A237028 * A236082 A235737 A236490

Adjacent sequences: A235739 A235740 A235741 * A235743 A235744 A235745

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2014

Status

approved