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!)
A205611 Number of 4X(n+1) 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
1024, 15896, 229445, 3750866, 57807612, 979571551, 15496775389, 272609873655, 4384360383670, 79963330142773, 1300473692266491, 24508744237526070, 401576952683317678, 7787791871844375660, 128222838068284053411 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A205609

LINKS

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

FORMULA

Empirical: a(n) = 87*a(n-1) -2113*a(n-2) -28453*a(n-3) +2086419*a(n-4) -19046936*a(n-5) -588262406*a(n-6) +12254102174*a(n-7) +45757765316*a(n-8) -2980680802931*a(n-9) +10451273478297*a(n-10) +402733524915059*a(n-11) -3275834575403010*a(n-12) -32393577310635023*a(n-13) +441594911709816313*a(n-14) +1372888149742140063*a(n-15) -37340548399660717906*a(n-16) +5031741780927871730*a(n-17) +2182661953868701616182*a(n-18) -4880722822953950218496*a(n-19) -91591562789322013727762*a(n-20) +363453958343478640435875*a(n-21) +2782836973251285930401849*a(n-22) -16190010129103263533679149*a(n-23) -59745164971677223152701869*a(n-24) +508918009896109216335592374*a(n-25) +811422933455246805868779494*a(n-26) -11927743182145906545125521650*a(n-27) -2994929768566032140225181203*a(n-28) +213376991904116496725332450944*a(n-29) -157236835922475131421917717696*a(n-30) -2937203472536015820482926389916*a(n-31) +4600568549793609704076317836640*a(n-32) +30988106172844865221304776300952*a(n-33) -73806429635917563709467153770208*a(n-34) -245592564212787068294164059792464*a(n-35) +827916614610107635419979081531632*a(n-36) +1383429306896882028235744296982112*a(n-37) -6905362024684051506436467759682304*a(n-38) -4580059962403179287390933803211264*a(n-39) +43634942422082627844022749003971584*a(n-40) -1893621556587288441443851398136832*a(n-41) -208738432017086631850347945187942400*a(n-42) +126428983931442950712365990716895232*a(n-43) +743201509826463115088398442913325056*a(n-44) -838576510062079283999733569803468800*a(n-45) -1888791970987227431606052874789978112*a(n-46) +3294870741475823999315539558130253824*a(n-47) +3076801903836010585999735759579185152*a(n-48) -8732948367487451432526997732312350720*a(n-49) -1942560934200308311657679835275722752*a(n-50) +15835304035012651570545006268608675840*a(n-51) -3999670010603462275851601328383983616*a(n-52) -18941341708703979386144622773046083584*a(n-53) +12201447654354894814330609936130637824*a(n-54) +13457964580004398153979320665603309568*a(n-55) -14955044084642087415341908214826401792*a(n-56) -3906891865129639319942210505702113280*a(n-57) +9710028797744183972445021877202583552*a(n-58) -1176183996948877555000567553555693568*a(n-59) -3211656539348491591151152308368179200*a(n-60) +1124307665962172775740240148616445952*a(n-61) +453261308927141754436560657988976640*a(n-62) -258721302919492344640140713310289920*a(n-63) -14674647118565351991228673661337600*a(n-64) +21520451255280127754498968073011200*a(n-65) -1092687444993261481959389921280000*a(n-66) -425114458979493218959145041920000*a(n-67)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A221488 A138334 A268124 * A016781 A247933 A344306

Adjacent sequences:  A205608 A205609 A205610 * A205612 A205613 A205614

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 22 01:28 EST 2022. Contains 350481 sequences. (Running on oeis4.)