cp's OEIS Frontend

A301968 Number of 6Xn 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%I A301968 #4 Mar 29 2018 13:04:53
%S A301968 32,233,252,441,874,2544,7795,22456,66659,203926,621905,1891815,
%T A301968 5775564,17661198,53992136,165070762,504836902,1544110348,4722844581,
%U A301968 14445769443,44186654928,135159112990,413428628386,1264613037181,3868263645434
%N A301968 Number of 6Xn 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.
%C A301968 Row 6 of A301964.
%H A301968 R. H. Hardin, <a href="/A301968/b301968.txt">Table of n, a(n) for n = 1..210</a>
%F A301968 Empirical: a(n) = 4*a(n-1) -5*a(n-2) +15*a(n-3) -27*a(n-4) +16*a(n-5) -59*a(n-6) +50*a(n-7) -13*a(n-8) +119*a(n-9) +11*a(n-10) +12*a(n-11) -125*a(n-12) -138*a(n-13) -13*a(n-14) +57*a(n-15) +150*a(n-16) +52*a(n-17) -27*a(n-18) -87*a(n-19) -36*a(n-20) +14*a(n-21) +34*a(n-22) +11*a(n-23) -8*a(n-24) -7*a(n-25) -a(n-26) +2*a(n-27) for n>32
%e A301968 Some solutions for n=5
%e A301968 ..0..0..1..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0
%e A301968 ..1..0..0..1..0. .0..1..1..1..0. .0..1..1..1..0. .0..0..0..1..0
%e A301968 ..1..1..0..0..0. .0..1..0..1..0. .0..1..0..1..1. .0..1..1..1..0
%e A301968 ..0..1..0..1..0. .0..0..0..1..0. .0..1..0..0..1. .0..1..0..1..0
%e A301968 ..0..1..0..1..0. .0..1..0..0..0. .0..1..1..0..1. .0..0..0..1..0
%e A301968 ..0..1..0..1..0. .0..1..0..1..1. .0..0..1..0..1. .0..1..0..1..0
%Y A301968 Cf. A301964.
%K A301968 nonn
%O A301968 1,1
%A A301968 _R. H. Hardin_, Mar 29 2018