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!)
A202794 Number of nX7 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically 1

%I #5 Mar 31 2012 12:36:52

%S 37,10960,1417772,168585867,20696263392,2552520578945,314293683119573,

%T 38688895320766945,4762933853090450802,586367068773478325010,

%U 72187597225974934381107,8887000410940815491975644

%N Number of nX7 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically

%C Column 7 of A202795

%H R. H. Hardin, <a href="/A202794/b202794.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 116*a(n-1) -296*a(n-2) +134529*a(n-3) +910448*a(n-4) +32002645*a(n-5) +303792182*a(n-6) -274352367*a(n-7) -4553032481*a(n-8) -255464462439*a(n-9) -2564370181498*a(n-10) +3644407163485*a(n-11) +79890586561000*a(n-12) +692867879459014*a(n-13) +5340037410632238*a(n-14) -27697667859465447*a(n-15) -350399052874916127*a(n-16) +220849398095860794*a(n-17) +7638409455780774294*a(n-18) +4866818035419949332*a(n-19) -72337785204533265225*a(n-20) -96987081597388772030*a(n-21) +182924266571367258073*a(n-22) +455507949722882174117*a(n-23) +1577927042339412020867*a(n-24) +1466816734937249906401*a(n-25) -9210879986368819971180*a(n-26) -14710061453528888004978*a(n-27) -10266615283727697297035*a(n-28) -5426733751946837588438*a(n-29) +128856230391754102340524*a(n-30) +190968829483790799607694*a(n-31) +18153867338155588036077*a(n-32) +35132143370512533053490*a(n-33) -814633095069822582376942*a(n-34) -1311231354512138456570860*a(n-35) -240281889644749772219856*a(n-36) -944241848508844773234577*a(n-37) +1984444138948153039215217*a(n-38) +3702125192328894859997033*a(n-39) +2150017385587368309459975*a(n-40) +6214820433967172033813092*a(n-41) +715295954577709319019156*a(n-42) +2377107132309172520279758*a(n-43) +355996505560192583614994*a(n-44) -1440267118184540161588288*a(n-45) +358634102872409242797644*a(n-46) -1316771241754607915926988*a(n-47) -21781176900509558851560*a(n-48) -157752158322616242657120*a(n-49) -176405863142160452197176*a(n-50) +118483196392227220082928*a(n-51) -68731346642077739519568*a(n-52) +31758624172313831595600*a(n-53) -3050873407387199742336*a(n-54) -1303075403234971813440*a(n-55) +1558199142139361630400*a(n-56) -627861169109993184000*a(n-57) -5309406999953308800*a(n-58) +42814277346859632000*a(n-59) -6919998916194720000*a(n-60) +330257844734400000*a(n-61)

%e Some solutions for n=2

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 24 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 March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)