A220382 Majority value maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..1 nX4 array

7, 79, 757, 7462, 73066, 715412, 7003040, 68557435, 671141189, 6570141318, 64318370539, 629644495493, 6163902725507, 60341505579868, 590712971700130, 5782782703158232, 56610532354660692, 554188621256117979

Offset

1,1

Comments

Column 4 of A220386

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +33*a(n-2) -35*a(n-3) -198*a(n-4) -52*a(n-5) +60*a(n-6) -248*a(n-7) +327*a(n-8) +2885*a(n-9) +3686*a(n-10) -391*a(n-11) -2646*a(n-12) +1576*a(n-13) +5693*a(n-14) +4779*a(n-15) +1858*a(n-16) +790*a(n-17) +571*a(n-18) +145*a(n-19) -48*a(n-20) -28*a(n-21) -4*a(n-22) for n>23

Example

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

Crossrefs

Sequence in context: A079911 A003545 A104094 * A036950 A127890 A198973

Adjacent sequences: A220379 A220380 A220381 * A220383 A220384 A220385

Keyword

nonn

Author

R. H. Hardin Dec 13 2012

Status

approved