A207767 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically

31, 961, 2305, 17563, 67330, 178627, 887114, 3733566, 11979209, 49800326, 208738438, 742476229, 2900533473, 11843654162, 44397947317, 170655647841, 681016789541, 2614418854083, 10044216333681, 39503065976101

Offset

1,1

Comments

Row 7 of A207762

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +75*a(n-3) -165*a(n-4) +117*a(n-5) -1993*a(n-6) +3819*a(n-7) -1872*a(n-8) +28120*a(n-9) -52719*a(n-10) +21633*a(n-11) -245836*a(n-12) +475386*a(n-13) -202047*a(n-14) +1424731*a(n-15) -2854572*a(n-16) +1336596*a(n-17) -5595456*a(n-18) +11419032*a(n-19) -5756664*a(n-20) +14788744*a(n-21) -30146304*a(n-22) +15765936*a(n-23) -25534368*a(n-24) +51292992*a(n-25) -27030768*a(n-26) +27214704*a(n-27) -53527680*a(n-28) +27914688*a(n-29) -16039296*a(n-30) +30855168*a(n-31) -15780096*a(n-32) +3960576*a(n-33) -7464960*a(n-34) +3732480*a(n-35) for n>37

Example

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

Crossrefs

Sequence in context: A200442 A207777 A207274 * A207734 A208693 A207563

Adjacent sequences: A207764 A207765 A207766 * A207768 A207769 A207770

Keyword

nonn

Author

R. H. Hardin Feb 19 2012

Status

approved