A208397 Number of 6Xn 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.
122, 88574, 53466192, 33085555344, 20413586117376, 12599441934740388, 7776176148498498768, 4799354153334997638528, 2962097148583259021121408, 1828166808374593843302307296, 1128320137401532221612440868480
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0..1..0....0..0..0..1....0..1..2..1....0..0..0..0....0..0..1..2 ..1..1..0..0....1..2..2..1....2..0..0..1....0..1..1..2....2..2..1..0 ..2..0..1..0....2..0..1..1....0..2..0..1....0..1..2..1....0..1..2..1 ..0..1..1..0....2..1..2..0....2..0..1..0....2..2..0..0....0..1..0..0 ..0..1..0..2....1..2..0..1....0..2..1..1....0..2..2..0....2..2..0..0 ..2..2..0..1....1..2..0..2....2..0..0..1....0..1..0..1....0..1..0..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 483*a(n-1) +79374*a(n-2) +2325758*a(n-3) -116482840*a(n-4) -4495564268*a(n-5) +111405792720*a(n-6) +2919342926960*a(n-7) -84278449377440*a(n-8) -292603254712096*a(n-9) +29279534769068608*a(n-10) -369555641966430528*a(n-11) +1674749264072678656*a(n-12) +2156486801391239424*a(n-13) -44057404748132724736*a(n-14) +72097583624114731008*a(n-15) +455663058958407811072*a(n-16) -1247507020751283224576*a(n-17) -3007043688407624581120*a(n-18) +9354958262137561546752*a(n-19) +16366237761751490756608*a(n-20) -38560165649886912446464*a(n-21) -74672497584369523752960*a(n-22) +72558930328852457586688*a(n-23) +224968833273366480683008*a(n-24) +41691604839132475424768*a(n-25) -285907224003663252946944*a(n-26) -313784969927732142014464*a(n-27) -101581793844321214005248*a(n-28) +27613799564794291814400*a(n-29) +24843347713795943301120*a(n-30) +2744862767351536287744*a(n-31) -1217400666371817209856*a(n-32) -239668061369775685632*a(n-33) for n>37
Comments