login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A301819 Number of nX4 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 27 2018 10:10:58

%S 2,8,25,68,177,457,1183,3075,8018,20947,54782,143348,375200,982178,

%T 2571247,6731462,17623023,46137475,120789253,316230117,827900912,

%U 2167472413,5674516100,14856075638,38893710542,101825055692,266581456213

%N Number of nX4 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A301823.

%H R. H. Hardin, <a href="/A301819/b301819.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -13*a(n-2) +13*a(n-3) -6*a(n-4) +a(n-5)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301823.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 27 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 09:14 EDT 2024. Contains 371268 sequences. (Running on oeis4.)