A260496 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011

218, 347, 868, 1756, 2420, 5219, 11450, 17686, 34000, 74901, 127782, 231220, 493414, 902322, 1605968, 3284745, 6257230, 11223229, 22117862, 42933197, 78291428, 150404230, 293145834, 543695449, 1029765114, 1999476726, 3758265476

Offset

1,1

Comments

Column 3 of A260501

Links

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

Formula

Empirical: a(n) = 8*a(n-3) +9*a(n-4) -19*a(n-6) -48*a(n-7) -33*a(n-8) +24*a(n-9) +72*a(n-10) +116*a(n-11) +46*a(n-12) -54*a(n-13) -93*a(n-14) -128*a(n-15) -58*a(n-16) +32*a(n-17) +29*a(n-18) +74*a(n-19) +66*a(n-20) +8*a(n-21) +12*a(n-22) -20*a(n-23) -38*a(n-24) -8*a(n-25) -4*a(n-26) +2*a(n-27) +8*a(n-28) +2*a(n-29) +a(n-30) for n>33

Example

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

Crossrefs

Cf. A260501

Sequence in context: A121379 A171404 A131660 * A038595 A045239 A185462

Adjacent sequences: A260493 A260494 A260495 * A260497 A260498 A260499

Keyword

nonn

Author

R. H. Hardin, Jul 27 2015

Status

approved