A230985 Number of white square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero

3, 5, 24, 47, 191, 396, 1573, 3317, 13176, 27805, 110739, 233632, 931361, 1965325, 7836336, 16538039, 65947255, 139182070, 555025545, 1171397043, 4671332880, 9859026059, 39316357723, 82978844636, 330908274229, 698396543107

Offset

1,1

Comments

Column 4 of A230989

Links

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

Formula

Empirical: a(n) = 14*a(n-2) -61*a(n-4) +148*a(n-6) -289*a(n-8) +325*a(n-10) -227*a(n-12) +95*a(n-14) -28*a(n-16) +4*a(n-18)

Example

Some solutions for n=6
..0..x..1..x..1....0..x..0..x..0....0..x..0..x..0....0..x..0..x..1
..x..1..x..0..x....x..1..x..1..x....x..1..x..1..x....x..1..x..0..x
..0..x..1..x..1....0..x..0..x..1....1..x..1..x..0....0..x..0..x..1
..x..0..x..0..x....x..0..x..0..x....x..0..x..0..x....x..1..x..1..x
..1..x..0..x..1....1..x..1..x..0....1..x..1..x..0....1..x..0..x..1
..x..1..x..1..x....x..1..x..1..x....x..0..x..1..x....x..0..x..0..x
..0..x..0..x..0....0..x..0..x..0....1..x..1..x..0....1..x..1..x..1

Crossrefs

Sequence in context: A200948 A275148 A336425 * A286427 A290509 A347947

Adjacent sequences: A230982 A230983 A230984 * A230986 A230987 A230988

Keyword

nonn

Author

R. H. Hardin, Nov 02 2013

Status

approved