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!)
A302455 Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 08 2018 09:59:29

%S 1,11,18,55,177,474,1397,4135,11882,34847,101857,296482,867237,

%T 2532855,7392050,21600199,63090609,184246522,538224973,1572126423,

%U 4591906058,13413050687,39179099921,114439818402,334276528661,976412435063

%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A302460.

%H R. H. Hardin, <a href="/A302455/b302455.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +13*a(n-3) -23*a(n-4) +12*a(n-5) -42*a(n-6) +32*a(n-7) -24*a(n-8) -18*a(n-9) +24*a(n-10) +40*a(n-11) +32*a(n-12)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302460.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 08 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 April 24 07:54 EDT 2024. Contains 371922 sequences. (Running on oeis4.)