The OEIS is supported by the many generous donors to the OEIS 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 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A183452 Number of n X 5 binary arrays with every 1 having exactly three king-move neighbors equal to 1. 2

%I #9 Dec 03 2022 12:09:34

%S 1,6,13,22,60,147,310,723,1723,3917,8973,20875,48427,111384,256857,

%T 599340,1384994,3187563,7469888,17334233,39905291,94076289,219435873,

%U 505824167,1202595689,2825927772,6530389759,15704159500,37297212976

%N Number of n X 5 binary arrays with every 1 having exactly three king-move neighbors equal to 1.

%C Column 5 of A183456.

%H R. H. Hardin, <a href="/A183452/b183452.txt">Table of n, a(n) for n = 1..200</a>

%F Conjecture: g.f. -x*(1 +5*x +607360*x^20 -11532*x^9 +753306*x^19 +6*x^2 -288*x^26 -57080*x^10 -612804*x^16 +7234*x^8 -600857*x^17 +181998*x^18 -57*x^3 -10592*x^25 -16800*x^24 -182104*x^23 -283*x^4 +5942*x^7 -132231*x^15 -345*x^5 +1200*x^6+ 285093*x^14 +259034*x^13 +52803*x^12 +384*x^29 +768*x^28 +2048*x^27 -67623*x^11 -344072*x^22 -99176*x^21)/(-1 +x +275562*x^20 +15867*x^9 -37876*x^19 +x^2 -8768*x^26 +384*x^30 -7896*x^10 -20075*x^16 +1261*x^8 -184239*x^17 -567185*x^18 +60*x^3 -8096*x^25 -174456*x^24 -168944*x^23 -52*x^4+980*x^7 +311194*x^15-58*x^5 -1393*x^6 +65529*x^14 +24304*x^13 -94858*x^12 +384*x^29 +1664*x^28 -1952*x^27 -12862*x^11 +73800*x^22 +537480*x^21) . - _R. J. Mathar_, Dec 03 2022

%e Some solutions for 7X5

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 05 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.

Last modified December 7 12:41 EST 2023. Contains 367656 sequences. (Running on oeis4.)