A208498 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically.
16, 256, 324, 828, 1794, 4104, 9912, 21976, 52560, 121264, 279930, 662256, 1518514, 3571988, 8299060, 19262480, 45164520, 104532130, 244409310, 568980936, 1322673264, 3089796934, 7178968320, 16741713920, 38997040062, 90747250860
Offset: 1
Keywords
Examples
Some solutions for n=4 ..1..0..1..1..0....1..0..1..0..0....0..1..1..1..1....1..1..1..0..1 ..0..1..0..1..0....0..1..1..0..1....0..1..0..1..1....0..1..0..1..0 ..0..1..1..0..0....0..1..0..1..1....1..0..1..0..0....1..0..1..1..0 ..1..0..1..1..0....1..0..1..1..0....1..0..1..0..1....1..0..1..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = a(n-2) +16*a(n-3) +2*a(n-4) +2*a(n-5) -107*a(n-6) +10*a(n-7) -75*a(n-8) +416*a(n-9) -102*a(n-10) +335*a(n-11) -965*a(n-12) +313*a(n-13) -613*a(n-14) +1499*a(n-15) -398*a(n-16) +552*a(n-17) -1629*a(n-18) +183*a(n-19) -217*a(n-20) +1234*a(n-21) +93*a(n-22) -46*a(n-23) -623*a(n-24) -161*a(n-25) +86*a(n-26) +235*a(n-27) +71*a(n-28) -35*a(n-29) -72*a(n-30) -8*a(n-31) +6*a(n-32) +13*a(n-33) -a(n-34) -a(n-36) for n>38
Comments