A259890 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011

499, 1853, 13373, 58800, 202632, 954624, 4585294, 18966448, 80737802, 366501170, 1610438050, 6928342996, 30446045528, 134338881490, 586149763228, 2560529857154, 11241312446298, 49255090317994, 215425770352536

Offset

1,1

Comments

Column 4 of A259894

Links

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

Formula

Empirical: a(n) = a(n-1) +5*a(n-2) +34*a(n-3) +80*a(n-4) -71*a(n-5) -356*a(n-6) -455*a(n-7) -587*a(n-8) +739*a(n-9) +2387*a(n-10) +1309*a(n-11) +297*a(n-12) -613*a(n-13) -1780*a(n-14) -1644*a(n-15) -1034*a(n-16) -291*a(n-17) +137*a(n-18) +53*a(n-19) +18*a(n-20) +12*a(n-21) -6*a(n-22)

Example

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

Crossrefs

Cf. A259894

Sequence in context: A045299 A106761 A243957 * A178044 A230004 A203735

Adjacent sequences: A259887 A259888 A259889 * A259891 A259892 A259893

Keyword

nonn

Author

R. H. Hardin, Jul 07 2015

Status

approved