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

9042, 2563795, 677791782, 178967377396, 47230346056196, 12464481048826696, 3289463766677655180, 868112796406514394762, 229101105231079683475878, 60461401929004270020060446, 15956191555188818333370424668

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