A206932 Number of nX4 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically

13, 169, 1153, 6837, 35277, 170409, 783557, 3498981, 15313557, 66183221, 283695069, 1209894989, 5143701217, 21827038973, 92522770909, 391969130401, 1660088519969, 7030078814173, 29769974336161, 126068348345329

Offset

1,1

Comments

Column 4 of A206936

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -24*a(n-2) -50*a(n-3) +241*a(n-4) -8*a(n-5) -750*a(n-6) +328*a(n-7) +1008*a(n-8) -448*a(n-9) -642*a(n-10) +200*a(n-11) +191*a(n-12) -34*a(n-13) -24*a(n-14) +2*a(n-15) +a(n-16)

Example

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

Crossrefs

Sequence in context: A015961 A264133 A221965 * A206867 A181220 A188562

Adjacent sequences: A206929 A206930 A206931 * A206933 A206934 A206935

Keyword

nonn

Author

R. H. Hardin Feb 13 2012

Status

approved