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!)
A205605 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order 1
2705, 95564, 3750866, 146904738, 5847666690, 230158920084, 9140244711946, 360781344241798, 14301931856599428, 565213648367033108, 22386943865650199360, 885281331841518959834, 35048405220530170120114 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A205609

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 1416*a(n-2) +15520*a(n-3) -225496*a(n-4) -6430364*a(n-5) -15337120*a(n-6) +1021870712*a(n-7) +6992184132*a(n-8) -82546428048*a(n-9) -765567543370*a(n-10) +3779779706628*a(n-11) +43789676240462*a(n-12) -109441540345432*a(n-13) -1557795026283920*a(n-14) +2489902684195968*a(n-15) +40082704548163637*a(n-16) -49148868711361536*a(n-17) -859200801632669438*a(n-18) +580205781351109716*a(n-19) +16410139318578977262*a(n-20) -1426378599171320636*a(n-21) -337653300655475182544*a(n-22) -175317299320275211584*a(n-23) +8146028628849436330252*a(n-24) +13518008894971775673600*a(n-25) -161188946393606154315192*a(n-26) -477470647729748220598992*a(n-27) +2047727700906276369809312*a(n-28) +9129404791616667767487392*a(n-29) -16391290572194766048385760*a(n-30) -114778363861096368524486400*a(n-31) +77566042182634010217487040*a(n-32) +1130261902868362744559628416*a(n-33) +411047038280495691722165184*a(n-34) -7734344597553148562730797568*a(n-35) -11938588593831946691423918336*a(n-36) +21200221999694811817969870336*a(n-37) +79162514095658408134275366912*a(n-38) +92713433454660446787917934592*a(n-39) -22832003635981925087390957568*a(n-40) -647705258280478036569727877120*a(n-41) -1987955062843407335906559836160*a(n-42) -1694387962652365317899167596544*a(n-43) +5261225665698924540982301491200*a(n-44) +18241603830551924671096985092096*a(n-45) +17350307853212288601181730635776*a(n-46) -13935962901199175866540321931264*a(n-47) -31037593346952208473165634994176*a(n-48) -73304802430985973025637373313024*a(n-49) -400897737476604508050037990752256*a(n-50) -612106231498344521382160911826944*a(n-51) +782659158627215683479345555308544*a(n-52) +3344493453570013727347653224693760*a(n-53) +2918241578555041790682323830702080*a(n-54) -2401105459541574065411302380011520*a(n-55) -6282152269488080122334673987698688*a(n-56) -2513874462142297567966794967154688*a(n-57) +808670495449839064909597837885440*a(n-58) -4924200668618478930709747907690496*a(n-59) -8556930046166087000274444170035200*a(n-60) -3558818063734846135994380242124800*a(n-61) for n>62

EXAMPLE

Some solutions for n=4

..0..0..0..1..0....0..0..0..0..0....0..1..1..0..0....0..0..0..0..0

..2..2..0..0..0....0..1..0..1..0....0..2..3..3..1....0..1..0..2..2

..0..1..1..3..1....1..3..1..3..1....2..2..2..3..3....3..1..3..3..1

..0..0..1..3..1....1..1..1..1..1....3..0..1..1..0....1..1..3..1..1

..3..2..2..2..2....0..2..3..0..2....3..0..1..0..0....2..0..3..0..2

CROSSREFS

Sequence in context: A250615 A193172 A281838 * A205436 A031550 A083615

Adjacent sequences:  A205602 A205603 A205604 * A205606 A205607 A205608

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 29 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 May 18 01:52 EDT 2022. Contains 353779 sequences. (Running on oeis4.)