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!)
A306168 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I

%S 5,21,30,93,249,544,1372,3411,8269,20472,50397,123803,305272,751590,

%T 1849735,4556239,11219928,27625541,68032151,167535478,412552316,

%U 1015939459,2501834023,6160893450,15171602577,37361209577,92004521524

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A306172.

%H R. H. Hardin, <a href="/A306168/b306168.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +16*a(n-3) -26*a(n-4) -3*a(n-5) -103*a(n-6) +137*a(n-7) +32*a(n-8) +371*a(n-9) -406*a(n-10) -152*a(n-11) -915*a(n-12) +801*a(n-13) +422*a(n-14) +1710*a(n-15) -1092*a(n-16) -751*a(n-17) -2415*a(n-18) +1006*a(n-19) +977*a(n-20) +2609*a(n-21) -505*a(n-22) -986*a(n-23) -2180*a(n-24) -154*a(n-25) +630*a(n-26) +1281*a(n-27) +325*a(n-28) -267*a(n-29) -512*a(n-30) -276*a(n-31) -13*a(n-32) +49*a(n-33) +74*a(n-34) +52*a(n-35) +32*a(n-36) +11*a(n-37) -7*a(n-38) -6*a(n-39) -3*a(n-40) for n>41

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A306172.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 23 2018

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 20 19:53 EST 2022. Contains 350472 sequences. (Running on oeis4.)