A260366 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111

436, 700, 2014, 4633, 5326, 12858, 32488, 46993, 89140, 223963, 379838, 657619, 1551102, 2943373, 5005180, 10882474, 22057020, 38567570, 77971796, 162031604, 295335654, 570612861, 1181007446, 2235793266, 4234428804, 8612184438

Offset

1,1

Comments

Column 4 of A260370

Links

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

Formula

Empirical: a(n) = 2*a(n-2) +8*a(n-3) +12*a(n-4) -13*a(n-5) -41*a(n-6) -74*a(n-7) -48*a(n-8) +117*a(n-9) +285*a(n-10) +320*a(n-11) +86*a(n-12) -554*a(n-13) -1101*a(n-14) -814*a(n-15) +181*a(n-16) +1674*a(n-17) +2737*a(n-18) +1245*a(n-19) -1501*a(n-20) -3641*a(n-21) -4387*a(n-22) -604*a(n-23) +3881*a(n-24) +4764*a(n-25) +4047*a(n-26) -556*a(n-27) -4431*a(n-28) -3433*a(n-29) -2418*a(n-30) +457*a(n-31) +2649*a(n-32) +1428*a(n-33) +977*a(n-34) -28*a(n-35) -834*a(n-36) -270*a(n-37) -233*a(n-38) -54*a(n-39) +136*a(n-40) +20*a(n-41) +21*a(n-42) +7*a(n-43) -8*a(n-44) for n>46

Example

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

Crossrefs

Cf. A260370

Sequence in context: A124043 A345554 A345808 * A250781 A260012 A234221

Adjacent sequences: A260363 A260364 A260365 * A260367 A260368 A260369

Keyword

nonn

Author

R. H. Hardin, Jul 23 2015

Status

approved