A229458 - OEIS

A229458

Number of defective 3-colorings of an n X 7 0..2 array connected horizontally and vertically with exactly one mistake and colors introduced in row-major 0..2 order.

%I #9 Apr 27 2021 21:19:35

%S 96,4212,145932,4651079,141595454,4182294415,120864516084,

%T 3435347473308,96375081239102,2675316057467887,73622425908369218,

%U 2011331511818175847,54609997468407739822,1474865683738453492784,39648575070681785006026

%N Number of defective 3-colorings of an n X 7 0..2 array connected horizontally and vertically with exactly one mistake and colors introduced in row-major 0..2 order.

%C Column 7 of A229460.

%H R. H. Hardin, <a href="/A229458/b229458.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 110*a(n-1) - 5243*a(n-2) + 144650*a(n-3) - 2610593*a(n-4) + 33017408*a(n-5) - 305811128*a(n-6) + 2137462184*a(n-7) - 11513372884*a(n-8) + 48502300256*a(n-9) - 161412354008*a(n-10) + 427044616576*a(n-11) - 901108804624*a(n-12) + 1517344261024*a(n-13) - 2035022988048*a(n-14) + 2164824966496*a(n-15) - 1815145078160*a(n-16) + 1189730382208*a(n-17) - 603502277248*a(n-18) + 234173991424*a(n-19) - 68574152448*a(n-20) + 14906358784*a(n-21) - 2352277504*a(n-22) + 260550656*a(n-23) - 19140608*a(n-24) + 835584*a(n-25) - 16384*a(n-26).

%e Some solutions for n=3:

%e 0 1 0 1 2 0 2 0 1 0 2 1 0 1 0 1 1 0 2 0 1

%e 1 2 1 2 1 2 1 1 2 1 0 0 1 0 1 2 0 1 0 1 2

%e 0 0 2 1 2 0 2 2 1 0 1 2 0 2 2 0 1 2 1 2 1

%Y Cf. A229460.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 24 2013