The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A251314 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements 1

%I

%S 365,2199,12859,76167,451826,2688099,16024915,95495471,568712168,

%T 3387770571,20189713569,120329111819,717061495216,4273007995794,

%U 25464690252601,151759389097464,904412481052043,5389803787476828

%N Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 5 of A251317

%H R. H. Hardin, <a href="/A251314/b251314.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -209*a(n-2) +1373*a(n-3) -6671*a(n-4) +24836*a(n-5) -72066*a(n-6) +164681*a(n-7) -296387*a(n-8) +415164*a(n-9) -439957*a(n-10) +329594*a(n-11) -140172*a(n-12) -13684*a(n-13) +64019*a(n-14) -38491*a(n-15) +1377*a(n-16) +12766*a(n-17) -8365*a(n-18) +3157*a(n-19) -938*a(n-20) -135*a(n-21) +270*a(n-22) -41*a(n-23) +4*a(n-24) -5*a(n-25) -a(n-26) for n>27

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014

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.

Last modified December 5 08:36 EST 2021. Contains 349543 sequences. (Running on oeis4.)