A301963 - OEIS

%I #6 Mar 24 2023 10:01:35

%S 21,35,132,443,1803,7795,33860,148299,646838,2827081,12348295,

%T 53946658,235669276,1029543928,4497666250,19648472006,85836276153,

%U 374983965881,1638153628134,7156431645355,31263560215566,136577871103739

%N Number of n X 7 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A301964.

%H R. H. Hardin, <a href="/A301963/b301963.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +13*a(n-2) +13*a(n-3) -19*a(n-4) -27*a(n-5) +16*a(n-6) +32*a(n-7) -23*a(n-8) -43*a(n-9) +45*a(n-10) +11*a(n-11) -29*a(n-12) +13*a(n-13) -2*a(n-14) for n>17.

%e Some solutions for n=5

%e ..0..0..1..0..1..0..1. .0..0..1..0..1..0..1. .0..0..1..1..0..1..0

%e ..1..0..1..0..1..0..1. .1..0..0..0..1..1..1. .1..0..0..1..0..1..0

%e ..1..0..1..0..1..1..1. .1..0..1..0..1..0..0. .1..1..0..1..1..1..0

%e ..1..1..1..0..1..0..1. .1..0..0..0..1..1..0. .0..0..0..1..0..1..1

%e ..1..0..1..0..1..0..1. .1..0..1..0..0..1..1. .0..1..0..1..0..0..1

%Y Cf. A301964.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 29 2018