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!)
A260496 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011 1

%I #4 Jul 27 2015 08:33:25

%S 218,347,868,1756,2420,5219,11450,17686,34000,74901,127782,231220,

%T 493414,902322,1605968,3284745,6257230,11223229,22117862,42933197,

%U 78291428,150404230,293145834,543695449,1029765114,1999476726,3758265476

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011

%C Column 3 of A260501

%H R. H. Hardin, <a href="/A260496/b260496.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-3) +9*a(n-4) -19*a(n-6) -48*a(n-7) -33*a(n-8) +24*a(n-9) +72*a(n-10) +116*a(n-11) +46*a(n-12) -54*a(n-13) -93*a(n-14) -128*a(n-15) -58*a(n-16) +32*a(n-17) +29*a(n-18) +74*a(n-19) +66*a(n-20) +8*a(n-21) +12*a(n-22) -20*a(n-23) -38*a(n-24) -8*a(n-25) -4*a(n-26) +2*a(n-27) +8*a(n-28) +2*a(n-29) +a(n-30) for n>33

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260501

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 27 2015

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 April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)