A207892 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically

13, 169, 462, 2446, 11196, 49442, 231900, 1070030, 4844224, 22421336, 103071836, 470766400, 2169072096, 9960748002, 45637352134, 209883232908, 963579009422, 4420355911200, 20311365385702, 93248420528358, 427991086292782

Offset

1,1

Comments

Column 5 of A207895

Links

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

Formula

Empirical: a(n) = 5*a(n-2) +93*a(n-3) +55*a(n-4) -155*a(n-5) -2310*a(n-6) -1767*a(n-7) +2530*a(n-8) +24479*a(n-9) +19496*a(n-10) -21724*a(n-11) -118048*a(n-12) -86251*a(n-13) +80928*a(n-14) +184661*a(n-15) +115235*a(n-16) -40224*a(n-17) +320280*a(n-18) +42178*a(n-19) -373429*a(n-20) -912968*a(n-21) +315033*a(n-22) +519645*a(n-23) -24244*a(n-24) -889210*a(n-25) +150839*a(n-26) +505015*a(n-27) +113924*a(n-28) -323459*a(n-29) +118395*a(n-30) +126286*a(n-31) -90095*a(n-32) +1380*a(n-33) +48458*a(n-34) +19414*a(n-35) -30712*a(n-36) +6513*a(n-37) +8418*a(n-38) -2051*a(n-39) -36*a(n-40) -309*a(n-41) -50*a(n-42) -274*a(n-43) +106*a(n-44) -94*a(n-45) +24*a(n-46) -3*a(n-47) for n>50

Example

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

Crossrefs

Sequence in context: A207511 A320459 A207343 * A207882 A207759 A207485

Adjacent sequences: A207889 A207890 A207891 * A207893 A207894 A207895

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved