A205317 Number of (n+1)X8 0..1 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..1 introduced in row major order

4376, 161928, 6150512, 235994088, 9094954742, 351210375464, 13574876544398, 524918733085720, 20301876944832818, 785274659708798830, 30375704525543067782, 1175006427763697066728, 45452565752953792429196

Offset

1,1

Comments

Column 7 of A205318

Links

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

Formula

Empirical: a(n) = 106*a(n-1) -4578*a(n-2) +110127*a(n-3) -1685691*a(n-4) +17662632*a(n-5) -132490685*a(n-6) +732439565*a(n-7) -3041749572*a(n-8) +9607185471*a(n-9) -23244897123*a(n-10) +43214022033*a(n-11) -61676422325*a(n-12) +67255934696*a(n-13) -55515488409*a(n-14) +34166147646*a(n-15) -15313024644*a(n-16) +4816467696*a(n-17) -999456992*a(n-18) +121777664*a(n-19) -6527616*a(n-20)

Example

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

Crossrefs

Sequence in context: A376924 A111345 A203874 * A252645 A252858 A027506

Adjacent sequences: A205314 A205315 A205316 * A205318 A205319 A205320

Keyword

nonn

Author

R. H. Hardin Jan 25 2012

Status

approved