A219059 Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nX4 array

13, 249, 4049, 64577, 1032785, 16520553, 264274797, 4227506465, 67625780417, 1081783483265, 17304872546433, 276819362795425, 4428172435248429, 70835764221804249, 1133132362454651729, 18126280770002730561

Offset

1,1

Comments

Column 4 of A219063

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +28*a(n-2) +55*a(n-3) +106*a(n-4) +358*a(n-5) -50*a(n-6) -102*a(n-7) -38*a(n-8) -122*a(n-9) -210*a(n-10) +18*a(n-11) +27*a(n-12) +18*a(n-14) +27*a(n-15)

Example

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

Crossrefs

Sequence in context: A027400 A053100 A320308 * A218315 A183416 A126422

Adjacent sequences: A219056 A219057 A219058 * A219060 A219061 A219062

Keyword

nonn

Author

R. H. Hardin Nov 11 2012

Status

approved