A260290 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001

560, 1145, 2966, 5629, 7146, 19157, 45596, 64925, 134780, 364807, 622726, 1067272, 2781546, 5698332, 9286764, 21166601, 48742256, 84350681, 166998638, 396526090, 759100312, 1388416581, 3155150616, 6602029616, 12006397572, 25250015180

Offset

1,1

Comments

Column 4 of A260294

Links

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

Formula

Empirical: a(n) = a(n-2) +7*a(n-3) +7*a(n-4) -6*a(n-5) -22*a(n-6) -2*a(n-7) -7*a(n-8) +10*a(n-9) +47*a(n-10) -34*a(n-11) -18*a(n-12) +a(n-13) -95*a(n-14) +63*a(n-15) +138*a(n-16) -19*a(n-17) -120*a(n-18) -27*a(n-19) +69*a(n-20) +16*a(n-21) +113*a(n-22) +131*a(n-23) +51*a(n-24) -58*a(n-25) -194*a(n-26) -16*a(n-27) -11*a(n-28) -69*a(n-29) +71*a(n-30) -11*a(n-31) -28*a(n-32) +7*a(n-33) -25*a(n-34) +a(n-35) +13*a(n-36) +a(n-39) +a(n-40) for n>44

Example

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

Crossrefs

Cf. A260294

Sequence in context: A100971 A253362 A217986 * A249839 A069243 A169719

Adjacent sequences: A260287 A260288 A260289 * A260291 A260292 A260293

Keyword

nonn

Author

R. H. Hardin, Jul 22 2015

Status

approved