A231993 Number of (n+1)X(4+1) 0..1 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to one

39, 406, 5778, 80511, 1129755, 15851094, 222394359, 3120433160, 43782113196, 614302069661, 8619184643070, 120934641149878, 1696817594085078, 23807819771598730, 334044315193101606, 4686930858103951041

Offset

1,1

Comments

Column 4 of A231997

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +10*a(n-2) -363*a(n-3) +300*a(n-4) +2289*a(n-5) -2814*a(n-6) -3711*a(n-7) +4416*a(n-8) +1713*a(n-9) -1638*a(n-10) -219*a(n-11) +181*a(n-12) +6*a(n-13) -4*a(n-14)

Example

Some solutions for n=4
..0..0..1..1..0....0..0..0..0..0....1..0..0..0..0....1..0..0..1..0
..0..0..0..0..0....0..1..1..0..1....0..0..0..0..0....0..0..0..0..1
..1..0..0..0..0....0..0..0..1..0....1..1..0..0..1....0..0..0..0..0
..1..0..0..0..0....0..0..0..0..1....1..0..0..0..0....1..0..0..1..1
..1..1..0..0..0....0..0..0..0..0....0..1..0..0..0....0..0..0..0..0

Crossrefs

Sequence in context: A229601 A210335 A210328 * A357958 A229517 A254871

Adjacent sequences: A231990 A231991 A231992 * A231994 A231995 A231996

Keyword

nonn

Author

R. H. Hardin, Nov 16 2013

Status

approved