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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A258524 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I

%S 2812,16473,85259,342157,1323419,5390288,22067757,92613188,396688542,

%T 1711246125,7414499804,32162200369,139646322721,607180535028,

%U 2641162279255,11488782106466,49977384656614,217425089392595

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 2 of A258530

%H R. H. Hardin, <a href="/A258524/b258524.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +10*a(n-2) -36*a(n-3) +8*a(n-4) +12*a(n-5) -350*a(n-6) -716*a(n-7) +3953*a(n-8) +7248*a(n-9) -17127*a(n-10) -23348*a(n-11) +30919*a(n-12) +34304*a(n-13) -19502*a(n-14) -21012*a(n-15) +2114*a(n-16) +5456*a(n-17) -41363*a(n-18) -6768*a(n-19) +95727*a(n-20) -17116*a(n-21) -31961*a(n-22) +47256*a(n-23) -92118*a(n-24) -26560*a(n-25) +102964*a(n-26) +2488*a(n-27) -39794*a(n-28) -3056*a(n-29) +7313*a(n-30) +2120*a(n-31) -808*a(n-32) -292*a(n-33) +16*a(n-34) +16*a(n-35) for n>40

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A258530

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 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 September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)