A208552 Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

16, 256, 1008, 3969, 10080, 25600, 52000, 105625, 187200, 331776, 536256, 866761, 1310848, 1982464, 2851200, 4100625, 5670000, 7840000, 10502800, 14070001, 18364896, 23970816, 30614688, 39100009, 49023520, 61465600, 75852000, 93605625

Offset

1,1

Comments

Column 5 of A208555.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) + 4*a(n-2) - 10*a(n-3) - 5*a(n-4) + 20*a(n-5) - 20*a(n-7) + 5*a(n-8) + 10*a(n-9) - 4*a(n-10) - 2*a(n-11) + a(n-12).

Empirical g.f.: x*(16 + 224*x + 432*x^2 + 1089*x^3 + 750*x^4 + 604*x^5 + 90*x^6 + 30*x^7 + 10*x^8 - 4*x^9 - 2*x^10 + x^11) / ((1 - x)^7*(1 + x)^5). - Colin Barker, Jul 04 2018

Example

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

Crossrefs

Cf. A208555.

Sequence in context: A207898 A207658 A207450 * A267717 A223190 A207469

Adjacent sequences: A208549 A208550 A208551 * A208553 A208554 A208555

Keyword

nonn

Author

R. H. Hardin, Feb 28 2012

Status

approved