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!)
A186122 Number of (n+1)X4 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum 1

%I #5 Mar 31 2012 12:36:04

%S 18,94,262,946,2978,10502,34678,120290,405274,1395998,4745006,

%T 16291134,55591062,190569866,651446994,2231635906,7634948674,

%U 26146587758,89488608966,306421554338,1048950425454,3591569027638,12295940315506

%N Number of (n+1)X4 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

%C Column 3 of A186128

%H R. H. Hardin, <a href="/A186122/b186122.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=7*a(n-1)-a(n-2)-83*a(n-3)+105*a(n-4)+366*a(n-5)-566*a(n-6)-920*a(n-7)+1225*a(n-8)+1920*a(n-9)-1210*a(n-10)-3435*a(n-11)-521*a(n-12)+4429*a(n-13)+4158*a(n-14)-3945*a(n-15)-6055*a(n-16)+1059*a(n-17)+4227*a(n-18)+1217*a(n-19)-275*a(n-20)-965*a(n-21)-1160*a(n-22)-245*a(n-23)+357*a(n-24)+391*a(n-25)+5*a(n-26)-292*a(n-27)-120*a(n-28)+80*a(n-29)+80*a(n-30)+64*a(n-31) for n>33

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 13 2011

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 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)