login
Number of n X 6 binary arrays with each 1 adjacent to exactly two 0's.
1

%I #14 May 19 2020 18:47:29

%S 8,98,534,3254,21708,135578,863096,5518572,35095832,223543018,

%T 1424141918,9069450042,57765518688,367927491536,2343383959002,

%U 14925484493108,95063475440328,605477794684548,3856408602298962,24562234175026876

%N Number of n X 6 binary arrays with each 1 adjacent to exactly two 0's.

%C Column 6 of A183335.

%H Robert Israel, <a href="/A183334/b183334.txt">Table of n, a(n) for n = 1..1242</a>

%H Robert Israel, <a href="/A183334/a183334.txt">Linear recurrence of order 98</a>

%H Robert Israel, <a href="/A183334/a183334.pdf">Maple-assisted derivation of recurrence</a>

%F Linear recurrence of order 98: see link. - _Robert Israel_, May 19 2020

%e Some solutions for 4 X 6

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

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

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

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

%Y Cf. A183335.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2011