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!)
A207021 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically 1

%I #8 May 22 2012 11:39:15

%S 13,169,624,1586,3315,6123,10374,16484,24921,36205,50908,69654,93119,

%T 122031,157170,199368,249509,308529,377416,457210,549003,653939,

%U 773214,908076,1059825,1229813,1419444,1630174,1863511,2121015,2404298,2715024

%N Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically

%C Column 5 of A207024

%H R. H. Hardin, <a href="/A207021/b207021.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (13/6)*n^4 + 13*n^3 + (52/3)*n^2 - (39/2)*n.

%F Empirical G.f.: 13*x*(1+8*x-7*x^2+2*x^3)/(1-x)^5. [_Colin Barker_, May 22 2012]

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 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 August 4 06:09 EDT 2024. Contains 374905 sequences. (Running on oeis4.)