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!)
A260099 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101. 1

%I

%S 48,85,206,472,1116,2575,6068,14096,33044,76925,180064,419884,981640,

%T 2290567,5352572,12495004,29189140,68152069,159185904,371714924,

%U 868161704,2027353439,4734819476,11057193964,25823175228,60305591933

%N Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101.

%H R. H. Hardin, <a href="/A260099/b260099.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) + 2*a(n-3) + 11*a(n-4) + 6*a(n-5) + 2*a(n-6) + 6*a(n-7) - 8*a(n-8) + 2*a(n-9) for n>10.

%F Empirical g.f.: x*(48 + 85*x + 110*x^2 + 206*x^3 + 6*x^4 - 4*x^5 + 20*x^6 - 172*x^7 + 112*x^8 - 20*x^9) / (1 - 2*x^2 - 2*x^3 - 11*x^4 - 6*x^5 - 2*x^6 - 6*x^7 + 8*x^8 - 2*x^9). - _Colin Barker_, Dec 28 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 1 of A260106.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 16 2015

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 21 03:58 EST 2022. Contains 350473 sequences. (Running on oeis4.)