A260289 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001

274, 544, 1336, 2966, 3764, 8660, 21028, 33108, 60116, 153106, 281552, 470266, 1099824, 2313010, 3881332, 8077044, 18072880, 32543750, 61542056, 137276390, 267566512, 487537360, 1035708408, 2138977088, 3943056064, 7908672984

Offset

1,1

Comments

Column 3 of A260294

Links

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

Formula

Empirical: a(n) = 6*a(n-3) +7*a(n-4) -9*a(n-6) -6*a(n-7) -11*a(n-8) +4*a(n-9) +46*a(n-10) -48*a(n-11) +14*a(n-12) -32*a(n-13) -31*a(n-14) +37*a(n-16) +8*a(n-17) -48*a(n-18) +4*a(n-19) -54*a(n-20) +16*a(n-21) -12*a(n-22) +24*a(n-23) +20*a(n-24) for n>28

Example

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

Crossrefs

Cf. A260294

Sequence in context: A174771 A031417 A361797 * A322254 A204278 A165677

Adjacent sequences: A260286 A260287 A260288 * A260290 A260291 A260292

Keyword

nonn

Author

R. H. Hardin, Jul 22 2015

Status

approved