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A210179 Number of (n+1)X5 0..3 arrays containing all values 0..3 with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order 1
9042, 2563795, 677791782, 178967377396, 47230346056196, 12464481048826696, 3289463766677655180, 868112796406514394762, 229101105231079683475878, 60461401929004270020060446, 15956191555188818333370424668 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A210183

LINKS

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

FORMULA

Empirical: a(n) = 305*a(n-1) -8964*a(n-2) -592720*a(n-3) +25109411*a(n-4) +152644028*a(n-5) -18195830806*a(n-6) +181226187451*a(n-7) +3092095684717*a(n-8) -66471049453238*a(n-9) +90264180231796*a(n-10) +6772584563156660*a(n-11) -49066540883042923*a(n-12) -192090370791348766*a(n-13) +3446057586143788976*a(n-14) -5299468411446658785*a(n-15) -101206410270018640248*a(n-16) +453991188789119119647*a(n-17) +1192283901355404923002*a(n-18) -11763947474565853612062*a(n-19) +4976777711797107269820*a(n-20) +154357702742341519669776*a(n-21) -320357552305372941467372*a(n-22) -1038371855595680313674168*a(n-23) +4129078215906298103085296*a(n-24) +2119123146244235654868816*a(n-25) -27118380193817405050087984*a(n-26) +17929710091623807641222208*a(n-27) +97507644778196665361489152*a(n-28) -149297639238887453328571904*a(n-29) -169191295081970510706676864*a(n-30) +490220164048331643495809024*a(n-31) +23379223105512261258727168*a(n-32) -836167077385995836324062720*a(n-33) +406266067090180580354471936*a(n-34) +749819009543217881638707200*a(n-35) -676693879122818542026817536*a(n-36) -310443123972805588169031680*a(n-37) +498203947536501588227915776*a(n-38) +9744748192081361437720576*a(n-39) -187420996792950565377146880*a(n-40) +36325389074681359144845312*a(n-41) +34537447300013200634806272*a(n-42) -11215019873068960788250624*a(n-43) -2580406693969511919386624*a(n-44) +1132682738571576929681408*a(n-45) +60903702041543212793856*a(n-46) -38872759178345280700416*a(n-47) -482390924757181661184*a(n-48) +345714358079352471552*a(n-49) -5401496006984466432*a(n-50)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A031593 A031773 A128374 * A161610 A204535 A345389

Adjacent sequences:  A210176 A210177 A210178 * A210180 A210181 A210182

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 18 2012

STATUS

approved

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Last modified May 17 16:12 EDT 2022. Contains 353747 sequences. (Running on oeis4.)