A229693 Number of defective 3-colorings of an n X 7 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order.
120, 20691, 1400413, 75035643, 3583403667, 159377253183, 6749642728251, 275739382892979, 10957241965280031, 425954258229381831, 16265054107660003947, 611918047133484899067, 22734198484723715670855
Offset: 1
Keywords
Examples
Some solutions for n=3: 0 0 1 2 1 2 1 0 0 1 0 1 2 1 0 0 1 0 1 2 0 1 0 1 2 1 2 2 1 2 1 0 1 0 2 1 0 2 0 2 1 2 1 2 1 2 1 0 2 1 2 0 2 1 0 2 2 1 2 1 0 1 0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 126*a(n-1) - 6345*a(n-2) + 165456*a(n-3) - 2474469*a(n-4) + 22918302*a(n-5) - 138045627*a(n-6) + 554666940*a(n-7) - 1494608922*a(n-8) + 2659094568*a(n-9) - 2986698420*a(n-10) + 1913187600*a(n-11) - 531441000*a(n-12) for n > 14.
Comments