A202097 Number of (n+2)X7 binary arrays avoiding patterns 001 and 011 in rows and columns.
3000, 22500, 105000, 490000, 1715000, 6002500, 17287200, 49787136, 124467840, 311169600, 698544000, 1568160000, 3234330000, 6670805625, 12847477500, 24743290000, 45032787800, 81959673796, 142244061960, 246869859600
Offset: 1
Keywords
Examples
Some solutions for n=2 ..1..1..1..1..0..0..0....1..1..1..1..0..0..0....1..1..1..1..1..1..1 ..1..1..0..1..0..1..0....1..1..1..1..1..0..0....1..1..0..1..0..1..0 ..0..1..0..1..0..0..0....1..1..1..1..0..0..0....1..0..1..0..1..0..1 ..1..0..0..0..0..0..0....1..1..0..0..0..0..0....1..1..0..1..0..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 2*a(n-1) +12*a(n-2) -26*a(n-3) -65*a(n-4) +156*a(n-5) +208*a(n-6) -572*a(n-7) -429*a(n-8) +1430*a(n-9) +572*a(n-10) -2574*a(n-11) -429*a(n-12) +3432*a(n-13) -3432*a(n-15) +429*a(n-16) +2574*a(n-17) -572*a(n-18) -1430*a(n-19) +429*a(n-20) +572*a(n-21) -208*a(n-22) -156*a(n-23) +65*a(n-24) +26*a(n-25) -12*a(n-26) -2*a(n-27) +a(n-28)
Comments