A222445 Sum of neighbor maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX2 array

2, 14, 64, 210, 1024, 4000, 16288, 65536, 260080, 1048576, 4191744, 16774656, 67108864, 268379104, 1073741824, 4294909952, 17179811840, 68719476736, 274876642816, 1099511627776, 4398045331456, 17592184864768, 70368744177664

Offset

1,1

Comments

Column 2 of A222448

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) +60*a(n-5) -240*a(n-6) -1456*a(n-10) +5824*a(n-11) +18496*a(n-15) -73984*a(n-16) -133120*a(n-20) +532480*a(n-21) +544768*a(n-25) -2179072*a(n-26) -1179648*a(n-30) +4718592*a(n-31) +1048576*a(n-35) -4194304*a(n-36)

Example

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

Crossrefs

Sequence in context: A144657 A362157 A167555 * A181394 A335630 A266590

Adjacent sequences: A222442 A222443 A222444 * A222446 A222447 A222448

Keyword

nonn

Author

R. H. Hardin Feb 20 2013

Status

approved