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!)
A302529 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 2

%I #4 Apr 09 2018 09:25:30

%S 0,10,28,42,100,290,730,1700,4246,10758,26632,65846,164130,408716,

%T 1015998,2527374,6288152,15643694,38924730,96845564,240934118,

%U 599472054,1491590968,3711076182,9233281458,22973573260,57160260398,142218013758

%N Number of 3Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A302528.

%H R. H. Hardin, <a href="/A302529/b302529.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +6*a(n-3) -10*a(n-4) -24*a(n-5) +37*a(n-6) -22*a(n-7) +72*a(n-8) +18*a(n-9) -108*a(n-10) +24*a(n-11) -24*a(n-12) +24*a(n-13) +8*a(n-14) -8*a(n-15) for n>17

%e Some solutions for n=5

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

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

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

%Y Cf. A302528.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 09 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 September 11 23:47 EDT 2024. Contains 375842 sequences. (Running on oeis4.)