The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A298050 Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. 4

%I #4 Jan 11 2018 07:16:52

%S 1,7,15,19,23,34,63,96,147,233,368,588,933,1500,2404,3842,6157,9887,

%T 15907,25577,41128,66175,106524,171543,276293,445096,717116,1155533,

%U 1862256,3001558,4838268,7799411,12573667,20271639,32684289,52699948

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.

%C Column 3 of A298055.

%H R. H. Hardin, <a href="/A298050/b298050.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) -2*a(n-3) -3*a(n-5) +3*a(n-6) +3*a(n-7) -a(n-8) +2*a(n-9) +6*a(n-10) -8*a(n-11) -3*a(n-12) -4*a(n-13) -2*a(n-14) +4*a(n-15) +8*a(n-16) -a(n-17) -3*a(n-18) for n>19

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298055.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 11 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.

Last modified December 5 10:56 EST 2023. Contains 367589 sequences. (Running on oeis4.)