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!)
A204360 Number of (n+2)X9 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order 1

%I #5 Mar 31 2012 12:37:01

%S 75324,137407,236382,383714,901622,2225410,5145580,11331092,24907494,

%T 56952320,131317336,300971450,680102200,1545164810,3522195194,

%U 8043779858,18291387806,41624381340,94766666314,215979172968,491665678228

%N Number of (n+2)X9 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order

%C Column 7 of A204361

%H R. H. Hardin, <a href="/A204360/b204360.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -4*a(n-2) +5*a(n-3) +9*a(n-4) -31*a(n-5) +49*a(n-6) -59*a(n-7) +15*a(n-8) +54*a(n-9) -102*a(n-10) +110*a(n-11) -52*a(n-12) -25*a(n-13) +74*a(n-14) -77*a(n-15) +38*a(n-16) +2*a(n-17) -18*a(n-18) +17*a(n-19) -8*a(n-20) +a(n-21) for n>32

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012

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 March 29 10:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)