A202774 Number of (n+2)X7 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals

1602, 5330, 12886, 29826, 65179, 134218, 269300, 526008, 1002483, 1887117, 3497089, 6417968, 11676929, 21098007, 37903601, 67796705, 120804204, 214632801, 380393406, 672897793, 1188384384, 2096184835, 3693593860, 6503023770

Offset

1,1

Comments

Column 5 of A202777

Links

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

Formula

Empirical: a(n) = a(n-1) +7*a(n-2) +2*a(n-3) -29*a(n-4) -37*a(n-5) +53*a(n-6) +151*a(n-7) +24*a(n-8) -300*a(n-9) -317*a(n-10) +227*a(n-11) +690*a(n-12) +248*a(n-13) -687*a(n-14) -819*a(n-15) +133*a(n-16) +905*a(n-17) +496*a(n-18) -421*a(n-19) -656*a(n-20) -112*a(n-21) +355*a(n-22) +296*a(n-23) -10*a(n-24) -168*a(n-25) -122*a(n-26) -5*a(n-27) +72*a(n-28) +62*a(n-29) +5*a(n-30) -34*a(n-31) -22*a(n-32) +2*a(n-33) +10*a(n-34) +3*a(n-35) -a(n-36) -a(n-37)

Example

Some solutions for n=3
..1..1..1..1..1..0..0....1..1..1..1..1..1..0....1..1..1..1..1..1..1
..1..1..1..1..1..0..0....1..1..1..1..1..1..1....1..1..1..1..1..0..1
..1..1..1..1..1..1..1....1..1..1..0..0..1..0....1..1..1..1..1..1..1
..0..0..1..0..1..0..0....1..1..0..0..1..0..0....1..1..1..1..1..0..1
..1..1..1..1..0..1..0....1..1..1..1..0..0..1....1..0..0..1..0..1..0

Crossrefs

Sequence in context: A031758 A154505 A031538 * A293370 A352092 A252439

Adjacent sequences: A202771 A202772 A202773 * A202775 A202776 A202777

Keyword

nonn

Author

R. H. Hardin Dec 23 2011

Status

approved