A235756 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise.

81, 498, 498, 2996, 6578, 2996, 15782, 88732, 88732, 15782, 80584, 996868, 2721271, 996868, 80584, 388008, 10878790, 68186440, 68186440, 10878790, 388008, 1819537, 107853469, 1669079300, 3951955004, 1669079300, 107853469, 1819537, 8271237

Offset

1,1

Comments

Table starts

........81.........498...........2996...........15782............80584

.......498........6578..........88732..........996868.........10878790

......2996.......88732........2721271........68186440.......1669079300

.....15782......996868.......68186440......3951955004.....229794497298

.....80584....10878790.....1669079300....229794497298...32851676943413

....388008...107853469....36221011849..11883494266538.4249799416665556

...1819537..1029949275...753688651636.593235221174732

...8271237..9302743070.14525190680041

..36871545.81316688449

.161304512

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 1 is A235527

Sequence in context: A205206 A205063 A205057 * A235531 A235527 A297122

Adjacent sequences: A235753 A235754 A235755 * A235757 A235758 A235759

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2014

Status

approved