A260243 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001

256, 551, 1476, 3287, 8242, 22944, 56634, 134576, 355620, 930398, 2243778, 5643712, 14874838, 37124894, 91485986, 236607962, 604605716, 1496818690, 3791471588, 9741618048, 24444280948, 61293997138, 156547740090, 396868734430

Offset

1,1

Comments

Column 3 of A260248

Links

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

Formula

Empirical: a(n) = 15*a(n-3) +20*a(n-4) -54*a(n-6) -128*a(n-7) -62*a(n-8) -12*a(n-9) +50*a(n-10) +335*a(n-11) +445*a(n-12) +138*a(n-13) -249*a(n-14) -161*a(n-15) +145*a(n-16) -398*a(n-17) -519*a(n-18) +118*a(n-19) -4*a(n-20) -60*a(n-21) +2*a(n-22) +16*a(n-23) +12*a(n-24) -36*a(n-25) +32*a(n-26) +8*a(n-27) -8*a(n-28) +8*a(n-29) for n>30

Example

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

Crossrefs

Cf. A260248

Sequence in context: A045081 A294153 A235060 * A206137 A206130 A110297

Adjacent sequences: A260240 A260241 A260242 * A260244 A260245 A260246

Keyword

nonn

Author

R. H. Hardin, Jul 20 2015

Status

approved