A260471 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

205, 471, 1723, 5034, 15502, 51552, 161176, 500384, 1604536, 5086798, 15970826, 50628404, 160518794, 506646020, 1602247622, 5073114544, 16039699386, 50717541826, 160468331560, 507552451076, 1605133576768, 5077305382754

Offset

1,1

Comments

Column 4 of A260475

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +16*a(n-3) +7*a(n-4) -14*a(n-5) -45*a(n-6) -14*a(n-7) +7*a(n-8) +42*a(n-9) +10*a(n-10) -37*a(n-11) -82*a(n-12) -25*a(n-13) +110*a(n-14) +169*a(n-15) +20*a(n-16) -71*a(n-17) -88*a(n-18) -20*a(n-19) +58*a(n-20) +83*a(n-21) +72*a(n-22) -60*a(n-23) -79*a(n-24) -63*a(n-25) +4*a(n-26) +16*a(n-27) +10*a(n-28) for n>32

Example

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

Crossrefs

Cf. A260475

Sequence in context: A042983 A186475 A020170 * A249703 A015974 A203870

Adjacent sequences: A260468 A260469 A260470 * A260472 A260473 A260474

Keyword

nonn

Author

R. H. Hardin, Jul 26 2015

Status

approved