A232139 Number of (2+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.
44, 728, 10956, 169692, 2616952, 40399768, 623543776, 9624373808, 148550587192, 2292857494812, 35389922134468, 546238342870352, 8431109896279836, 130132963416612180, 2008583492065392256, 31002196055330559468
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0..1..0..1....0..1..1..2....0..1..2..2....0..1..2..2....0..1..0..2 ..1..2..1..2....0..0..2..2....2..1..0..2....0..1..0..2....1..0..0..2 ..1..0..1..2....2..0..0..1....2..2..0..1....1..2..0..1....2..1..2..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 15*a(n-1) +16*a(n-2) -163*a(n-3) +305*a(n-4) +116*a(n-5) -2324*a(n-6) +1718*a(n-7) -5922*a(n-8) +14296*a(n-9) +18892*a(n-10) -15292*a(n-11) -21000*a(n-12) -12320*a(n-13) -17184*a(n-14) +11072*a(n-15) +5120*a(n-17)
Comments