A259511 Number of (n+1)X(4+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0101 0111

245, 2219, 20293, 189211, 1769635, 16602297, 155863519, 1464104971, 13754727159, 129236342101, 1214294685989, 11409748154969, 107208173420527, 1007356261075135, 9465372066487451, 88939216552231467, 835696481415998163

Offset

1,1

Comments

Column 4 of A259515

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +61*a(n-2) -432*a(n-3) -936*a(n-4) +7415*a(n-5) +3311*a(n-6) -51997*a(n-7) +14878*a(n-8) +156464*a(n-9) -95087*a(n-10) -197708*a(n-11) +149042*a(n-12) +84334*a(n-13) -69090*a(n-14)

Example

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

Crossrefs

Cf. A259515

Sequence in context: A237161 A056264 A154080 * A023097 A098195 A214474

Adjacent sequences: A259508 A259509 A259510 * A259512 A259513 A259514

Keyword

nonn

Author

R. H. Hardin, Jun 29 2015

Status

approved