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!)
A302208 Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 1,13,5,7,18,55,172,575,1962,6756,23400,81288,283089,987275,3444621,

%T 12023434,41982749,146612525,512036344,1788383898,6246509941,

%U 21818284060,76209472929,266195826556,929812279542,3247807389634,11344517688838

%N Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302212.

%H R. H. Hardin, <a href="/A302208/b302208.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -3*a(n-2) +12*a(n-3) -21*a(n-4) -18*a(n-5) -16*a(n-6) +14*a(n-7) +21*a(n-8) +37*a(n-9) -6*a(n-10) +25*a(n-11) +62*a(n-12) -20*a(n-13) -7*a(n-14) -75*a(n-15) -76*a(n-16) -51*a(n-17) +57*a(n-18) +43*a(n-19) +35*a(n-20) +30*a(n-21) -35*a(n-22) -27*a(n-23) +10*a(n-24) +2*a(n-25) +6*a(n-26) -2*a(n-28) for n>32

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302212.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 03 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 June 25 03:59 EDT 2022. Contains 354835 sequences. (Running on oeis4.)