A207561 Number of nX5 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically

14, 196, 720, 2234, 9568, 36426, 160652, 666212, 2958300, 12763810, 56890052, 250429286, 1120029716, 4985081444, 22367733696, 100216967838, 450974257968, 2029310442178, 9154744404876, 41320179008364, 186800175680348

Offset

1,1

Comments

Column 5 of A207564

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -18*a(n-2) -286*a(n-3) +990*a(n-4) +2420*a(n-5) -13219*a(n-6) -7318*a(n-7) +87016*a(n-8) -13474*a(n-9) -326656*a(n-10) +164320*a(n-11) +729389*a(n-12) -512204*a(n-13) -962042*a(n-14) +804466*a(n-15) +713562*a(n-16) -680852*a(n-17) -265049*a(n-18) +296838*a(n-19) +35044*a(n-20) -56802*a(n-21) +984*a(n-22) +2880*a(n-23) for n>24

Example

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

Crossrefs

Sequence in context: A207458 A208004 A207566 * A207416 A209647 A207754

Adjacent sequences: A207558 A207559 A207560 * A207562 A207563 A207564

Keyword

nonn

Author

R. H. Hardin Feb 18 2012

Status

approved