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!)
A207552 Number of 4Xn 0..2 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal 1
75, 5625, 327899, 18584111, 1058580304, 60409681388, 3444706587880, 196394845077515, 11195823351575374, 638229931665914988, 36382525031488738507, 2073995028464244989213, 118228412844652091729417 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A207550
LINKS
FORMULA
Empirical: a(n) = 75*a(n-1) -279*a(n-2) -55870*a(n-3) +619132*a(n-4) +10624995*a(n-5) -156435360*a(n-6) +39418367*a(n-7) +5687446019*a(n-8) -21387539810*a(n-9) -181413061607*a(n-10) -8122558142777*a(n-11) +174711294553294*a(n-12) +271009683894939*a(n-13) -17128383533321188*a(n-14) +48859766137607182*a(n-15) +461407352658224631*a(n-16) -2945675982691138809*a(n-17) +80741757045081747*a(n-18) +40694340239333081561*a(n-19) +157436282168932316087*a(n-20) -42613038335884776174*a(n-21) -12555254076232039300039*a(n-22) -398520064754470669298*a(n-23) +98261567049022818742453*a(n-24) +385220149334799454031470*a(n-25) +1694946849392014061968803*a(n-26) -6898177055859138399041213*a(n-27) +10382419400329305661128592*a(n-28) -32486113181923436526347669*a(n-29) -91335785940915840531363442*a(n-30) -113684752291904604808932379*a(n-31) -9385342750282519992420459634*a(n-32) -5962984156845168458650601941*a(n-33) -3290052418044587020636101133*a(n-34) +390431134543126408967068386996*a(n-35) +1671332411744587959635356602825*a(n-36) +605817399675182945833734501379*a(n-37) -5394700124761981852860687818580*a(n-38) -38891579765757791265654651009506*a(n-39) -85254942373459529111094361622908*a(n-40) +88138047110638120620395065197599*a(n-41) +494917417422017700927771301664685*a(n-42) +730895329783806063136778873718495*a(n-43) +44342324913932344382625405651072*a(n-44) -2661994706130840361481235753607186*a(n-45) -3911211545863208522953734063754091*a(n-46) +694006368783166401443310548945392*a(n-47) +4553798909030774318377963641677907*a(n-48) -3095976452858854702138090405407431*a(n-49) -5271152450140277198264725519192111*a(n-50) +20511134636727946507199026102941950*a(n-51) -3239231917823883733378987130418937*a(n-52) -19126308441097367758751736218169813*a(n-53) +115334926904709129120726579154421370*a(n-54) +149382584193469641170827505193901082*a(n-55) -7496484819143085850598439939157585*a(n-56) -378514228457350956384509768199380974*a(n-57) -272147270677516132958521543918559547*a(n-58) +444632620936963019767786610781319087*a(n-59) -682480346100455227127760311024682326*a(n-60) -1146244761251614560376306626539376217*a(n-61) +1003565192705309430616062069158959327*a(n-62) +812021949941329528016210005819004900*a(n-63) +85289222154913494869354114685081364*a(n-64) +496696181001264855780427345598595524*a(n-65) -35495667004939466785691099443265075*a(n-66) +362274493206232460059329428250869320*a(n-67) +200200088399602607233798737566898311*a(n-68) -724099300431597339511136441697717175*a(n-69) -531801599121338912985168632281238844*a(n-70) -302908746969740988440308774718603739*a(n-71) -80628939194816129553497724120399695*a(n-72) +298348511932512499268012191150119774*a(n-73) +264531003513916653200178954689258607*a(n-74) +91075357585036134921702117644612217*a(n-75) +8283986612308793542747753431284049*a(n-76) -23715390868357358678749908455870388*a(n-77) -4323514054082035821393595296901788*a(n-78) -978421399443985871460393582212952*a(n-79) +591619497879209549755509425398320*a(n-80) -10477109907725865000820036210944*a(n-81) -58252279609612899809401165458480*a(n-82) -15192438392839658696670214502784*a(n-83) -506772856534295798758574513280*a(n-84) -1220373945635059110430859592960*a(n-85) for n>88
EXAMPLE
Some solutions for n=4
..1..2..2..2....2..0..2..1....0..1..0..1....0..2..2..2....0..2..2..0
..1..2..2..2....1..1..1..0....2..2..0..0....1..1..0..2....1..0..0..0
..1..2..1..1....0..1..0..0....0..2..2..0....0..0..1..0....0..2..1..2
..1..2..1..1....0..0..0..2....0..1..0..1....1..2..0..2....0..0..0..0
CROSSREFS
Sequence in context: A324452 A110902 A207546 * A207313 A206696 A248545
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 18 2012
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 March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)