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!)
A197527 Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,1,0,1 for x=0,1,2,3,4 1
1, 41, 1444, 12071, 266240, 4538784, 73297686, 1237970513, 21169912001, 353504327702, 5958282895132, 100604292119446, 1693082387823415, 28523128648184140, 480717546283691822, 8098057861011371455 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Every 0 is next to 0 4's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's
Column 6 of A197529
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +88*a(n-2) +1571*a(n-3) +11991*a(n-4) +16520*a(n-5) -314879*a(n-6) -6605200*a(n-7) -40977234*a(n-8) -23730488*a(n-9) +462423841*a(n-10) +5944566747*a(n-11) +42366984823*a(n-12) +3696477974*a(n-13) -601622359098*a(n-14) -2098729579105*a(n-15) -13979162690489*a(n-16) -26201089635*a(n-17) +260193817711141*a(n-18) +382070430658281*a(n-19) +1338654046871132*a(n-20) -3942540161725897*a(n-21) -40164477555173107*a(n-22) +22745327106259863*a(n-23) -149130629850861891*a(n-24) +827781272768948119*a(n-25) +4718505411308787195*a(n-26) -5830847977013658547*a(n-27) +22300037096159035800*a(n-28) -80374088807947737598*a(n-29) -490100207594253363118*a(n-30) +154935474360346297181*a(n-31) -1736818651252368066298*a(n-32) +10529311889038368674730*a(n-33) +58388064846090592618744*a(n-34) -40850989154363383806211*a(n-35) +88431236331592715945808*a(n-36) -188900162871452339971131*a(n-37) -7241550725935941381270115*a(n-38) -1223572038409622447958866*a(n-39) -20258290578712520857841441*a(n-40) -93188132087398623044103443*a(n-41) +342431116408055966261935866*a(n-42) +503991096995912031841795226*a(n-43) -1667166303939923075562752715*a(n-44) +10550018350808014449773232004*a(n-45) -10480339798419998199481347119*a(n-46) -22083129850410444037039817917*a(n-47) +223195785531269395013760830352*a(n-48) -702930182804347719677118000990*a(n-49) +1249673450449256609723332169143*a(n-50) -581668019228360327435687539718*a(n-51) -4627983821304968573887937777616*a(n-52) +11270507039928206894261375227780*a(n-53) -38019407296812931297747892581097*a(n-54) +82623142020405066846054521681282*a(n-55) -139573058000395896233891654328467*a(n-56) +111393807674890519924613906429080*a(n-57) +483303179909655169336434429674576*a(n-58) -1986416007339968067757346086435559*a(n-59) +4836753083333867658510501100652115*a(n-60) -6013161016450263556898977499896283*a(n-61) -490849249717505381731151651241243*a(n-62) +24340806441514219601050559402280836*a(n-63) -67372813115087328463101614374985929*a(n-64) +102760856946488095665689688616896866*a(n-65) -96673043861869658873051870191286042*a(n-66) +487647984682041443386224332102116*a(n-67) +176411949289220422662321328200383912*a(n-68) -386692942070000914450403513747248960*a(n-69) +514868433597005634396104990659709648*a(n-70) -440127165650387482564885612801773088*a(n-71) +138611236304100583640842874591736736*a(n-72) +317180265059153473889593230654617920*a(n-73) -674358426171873520651816502948327904*a(n-74) +820325638285877377577577916011973120*a(n-75) -651401478656018370262302927564910464*a(n-76) +311989812281583740202891361733530624*a(n-77) -41378815952884021207701921501456896*a(n-78) -131485862332151995287957385127220736*a(n-79) +227577525311391809931417281902938112*a(n-80) -225789071595645185470367464618019840*a(n-81) +59618642610972164049005827832196096*a(n-82) +5898725128180152339474660791951360*a(n-83) -2424393236137092283187357204668416*a(n-84) +42487730984497776236259250883940352*a(n-85) -16528619253973001368823338481393664*a(n-86) -13470347015937711426046898199740416*a(n-87) +3288879002856800042885535320801280*a(n-88) +1422702066339841449081079799480320*a(n-89) +1539415219907134546073017789448192*a(n-90) +568446119352093879843108999921664*a(n-91) -575911199170568386955909594611712*a(n-92) -224587001476854043908016871309312*a(n-93) +15171694196818278986971286077440*a(n-94) +24621556859649884348943127543808*a(n-95) +2929182337470029304260538138624*a(n-96) -155909164781668193150491951104*a(n-97) +17595537278824243195038138368*a(n-98) -41274707716423635072159055872*a(n-99)
EXAMPLE
Some solutions containing all values 0 to 4 for n=4
..0..0..0..0..3..0....0..0..0..0..0..0....0..0..3..0..0..0....0..0..2..1..0..0
..0..2..1..0..0..0....0..0..1..2..0..0....2..1..0..0..0..0....0..0..1..4..1..0
..0..1..4..1..0..0....0..1..4..1..0..3....1..4..1..3..0..3....0..0..2..1..2..0
..0..0..1..0..0..0....0..0..1..2..0..0....2..1..0..0..3..0....0..3..0..0..0..0
CROSSREFS
Sequence in context: A118451 A094455 A239251 * A076462 A163050 A305863
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 16 2011
STATUS
approved

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 August 16 04:49 EDT 2024. Contains 375173 sequences. (Running on oeis4.)