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!)
A305588 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. 1

%I

%S 4,23,95,390,1626,6818,28530,119266,498890,2087148,8731184,36525814,

%T 152804412,639253506,2674304822,11187927898,46804640008,195807072344,

%U 819158586242,3426949449364,14336642689542,59977347549018

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 3 of A305593.

%H R. H. Hardin, <a href="/A305588/b305588.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -a(n-2) -3*a(n-3) -29*a(n-4) -14*a(n-5) +22*a(n-6) +95*a(n-7) +40*a(n-8) -70*a(n-9) -84*a(n-10) +13*a(n-11) +57*a(n-12) +4*a(n-13) -28*a(n-14) -26*a(n-15) -8*a(n-16) for n>17

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305593.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 05 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 May 28 13:05 EDT 2022. Contains 354115 sequences. (Running on oeis4.)