The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A304053 Number of nX3 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 1

%I

%S 1,11,6,18,32,60,124,288,598,1266,2910,6362,13924,31578,70292,156670,

%T 353098,791762,1776560,3999190,8991152,20221266,45520396,102442546,

%U 230580304,519141320,1168761696,2631446768,5925181452,13341570650

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 3 of A304058.

%H R. H. Hardin, <a href="/A304053/b304053.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +7*a(n-3) -3*a(n-4) -11*a(n-5) -21*a(n-6) -8*a(n-7) +13*a(n-8) +25*a(n-9) +22*a(n-10) +4*a(n-11) +3*a(n-12) -6*a(n-13) -6*a(n-14) -9*a(n-15) for n>18

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304058.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 05 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.

Last modified November 30 17:31 EST 2020. Contains 338807 sequences. (Running on oeis4.)