A184604 T(n,k) = 1/4 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sums 1 and 3.

2, 5, 5, 16, 24, 16, 58, 156, 156, 58, 214, 1123, 1986, 1123, 214, 784, 8268, 28192, 28192, 8268, 784, 2880, 60569, 411825, 782948, 411825, 60569, 2880, 10704, 446426, 6045460, 22581061, 22581061, 6045460, 446426, 10704, 40264, 3333345, 89538170

Offset

1,1

Comments

Table starts

......2.........5...........16..............58................214

......5........24..........156............1123...............8268

.....16.......156.........1986...........28192.............411825

.....58......1123........28192..........782948...........22581061

....214......8268.......411825........22581061.........1291076970

....784.....60569......6045460.......661355087........75369979530

...2880....446426.....89538170.....19597196907......4461217004146

..10704...3333345...1339793447....586441134417....266823559411796

..40264..25146354..20215904926..17688240987365..16087490826015621

.152728.190958245.306972320468.536871796215114.976144514798586404

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

Some solutions for 4 X 3:
..1..0..0....0..0..1....1..1..1....1..0..1....0..0..0....1..0..0....1..0..0
..1..1..0....1..1..1....0..0..1....0..1..1....1..0..1....0..0..1....0..1..0
..0..0..1....0..0..0....0..0..0....0..1..1....0..1..1....1..1..1....0..1..1
..1..1..0....1..1..0....1..1..1....0..0..0....0..1..0....0..1..1....0..0..1

Crossrefs

Sequence in context: A121304 A002106 A232316 * A064630 A089793 A076570

Adjacent sequences: A184601 A184602 A184603 * A184605 A184606 A184607

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2011

Status

approved