The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A206984 Number of nX5 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal 1

%I #6 Mar 31 2012 12:37:14

%S 16,256,420,1866,7500,27762,106110,413526,1583234,6065840,23380612,

%T 89904320,345225042,1327292244,5103379268,19613888918,75392090306,

%U 289821707064,1114041030214,4282214237068,16460713051026,63274053473750

%N Number of nX5 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal

%C Column 5 of A206987

%H R. H. Hardin, <a href="/A206984/b206984.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -7*a(n-2) +17*a(n-3) -27*a(n-4) +2*a(n-5) +47*a(n-6) -201*a(n-7) -179*a(n-8) +23*a(n-9) +255*a(n-10) -331*a(n-11) -206*a(n-12) +691*a(n-13) +704*a(n-14) -353*a(n-15) -775*a(n-16) +88*a(n-17) -15*a(n-18) +86*a(n-19) -192*a(n-20) +15*a(n-21) +64*a(n-22) +40*a(n-23) +8*a(n-24) -10*a(n-25) for n>27

%e Some solutions for n=4

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

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

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

%e ..1..1..1..0..0....1..0..0..0..0....1..0..0..1..1....0..1..1..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 May 28 15:12 EDT 2024. Contains 372916 sequences. (Running on oeis4.)