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!)
A254972 Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0 1

%I

%S 310,1282,6915,27211,116534,518534,2243657,9685030,42217091,183348161,

%T 795467850,3455917275,15010520704,65178568847,283071522309,

%U 1229382868909,5338953256844,23186438236007,100696512620379,437311942422531

%N Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0

%C Column 2 of A254978

%H R. H. Hardin, <a href="/A254972/b254972.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +10*a(n-2) +16*a(n-3) -29*a(n-4) -158*a(n-5) -102*a(n-6) +260*a(n-7) +509*a(n-8) +114*a(n-9) -417*a(n-10) -430*a(n-11) -123*a(n-12) +59*a(n-13) +142*a(n-14) +131*a(n-15) -21*a(n-16) -10*a(n-17) +6*a(n-18) -2*a(n-20) for n>22

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 11 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 24 21:02 EST 2022. Contains 350565 sequences. (Running on oeis4.)