A231421 Number of (2+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
50, 1032, 20896, 424404, 8704406, 178277756, 3654045516, 74894704740, 1535161355750, 31467342399888, 645012980337444, 13221399981059518, 271010854744794084, 5555152819316036170, 113868962991822419034
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0..1..2..1....0..1..0..1....0..1..1..2....0..1..2..1....0..1..0..2 ..1..0..0..1....1..0..2..0....1..2..2..0....1..0..2..1....0..0..2..0 ..1..2..1..1....0..2..2..0....0..2..2..1....1..0..2..0....1..2..2..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 20*a(n-1) +56*a(n-2) -821*a(n-3) -2559*a(n-4) +2274*a(n-5) +11333*a(n-6) +75045*a(n-7) +58970*a(n-8) -744820*a(n-9) -338743*a(n-10) +3350990*a(n-11) -566226*a(n-12) -8533262*a(n-13) +6626396*a(n-14) +10836980*a(n-15) -13238580*a(n-16) -6337152*a(n-17) +13746128*a(n-18) -1255112*a(n-19) -8079152*a(n-20) +2081168*a(n-21) +460736*a(n-22) -1034208*a(n-23) +221216*a(n-24) -114304*a(n-25) -122880*a(n-26) -16384*a(n-27) -512*a(n-28)
Comments