A207883 Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically

19, 361, 1095, 3106, 10207, 33631, 119278, 430317, 1618497, 6185552, 24218961, 95923447, 385262430, 1559000011, 6359706157, 26067392066, 107355218191, 443485735669, 1837400471598, 7628072692243, 31728400910931, 132160666103750

Offset

1,1

Comments

Column 6 of A207885

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -49*a(n-2) -321*a(n-3) +2264*a(n-4) +629*a(n-5) -34535*a(n-6) +45426*a(n-7) +272671*a(n-8) -644045*a(n-9) -1212652*a(n-10) +4445677*a(n-11) +2724392*a(n-12) -18859001*a(n-13) +42422*a(n-14) +52859050*a(n-15) -19114180*a(n-16) -100657622*a(n-17) +59907140*a(n-18) +131073520*a(n-19) -99525328*a(n-20) -115653968*a(n-21) +102345632*a(n-22) +67340656*a(n-23) -67025952*a(n-24) -24498368*a(n-25) +27442176*a(n-26) +4950784*a(n-27) -6594048*a(n-28) -394240*a(n-29) +802816*a(n-30) -8192*a(n-31) -32768*a(n-32) for n>33

Example

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

Crossrefs

Sequence in context: A207680 A223224 A207893 * A207760 A262762 A207167

Adjacent sequences: A207880 A207881 A207882 * A207884 A207885 A207886

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved