A210151 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having one, three or four distinct clockwise edge differences

11783, 2219034, 417014920, 78387305947, 14734218092801, 2769555432882273, 520586406508252346, 97853330660544192224, 18393246772912943494403, 3457332774980474733635260, 649866228765813597219979370

Offset

1,1

Comments

Column 3 of A210156

Links

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

Formula

Empirical: a(n) = 145*a(n-1) +8371*a(n-2) -28223*a(n-3) -5099034*a(n-4) -6848727*a(n-5) +1239650435*a(n-6) +930448375*a(n-7) -145737260866*a(n-8) +174912243963*a(n-9) +8264631635949*a(n-10) -22596313142751*a(n-11) -230989466281390*a(n-12) +920787848497955*a(n-13) +3145294614986535*a(n-14) -17388014234115316*a(n-15) -20446231184431219*a(n-16) +183336119039290408*a(n-17) +35747712256243592*a(n-18) -1196660533703535191*a(n-19) +358715517055014311*a(n-20) +5151447312682008123*a(n-21) -2881286940145422064*a(n-22) -15254072639096425931*a(n-23) +10457263543037282604*a(n-24) +31951721178336409991*a(n-25) -23277237121895822264*a(n-26) -48167665472082343099*a(n-27) +34598067257613352063*a(n-28) +52718006780308703710*a(n-29) -35619157696064520092*a(n-30) -41957052053167847864*a(n-31) +25829709988559823846*a(n-32) +24165370410041239916*a(n-33) -13259152815213783132*a(n-34) -9956951932632964712*a(n-35) +4797896668438751400*a(n-36) +2878768836324951744*a(n-37) -1208406171336576976*a(n-38) -567099023575525152*a(n-39) +207214883425141632*a(n-40) +72862743480025024*a(n-41) -23352420721108352*a(n-42) -5706693362437376*a(n-43) +1628318996755456*a(n-44) +241536697018368*a(n-45) -62481141760000*a(n-46) -4133487042560*a(n-47) +987100119040*a(n-48)

Example

Some solutions for n=4
..1..0..3..3....1..0..0..0....2..1..1..0....1..2..3..2....1..2..1..3
..3..2..1..3....0..3..1..2....3..3..0..2....3..1..1..1....2..0..1..0
..2..2..2..2....1..0..1..3....0..0..0..2....3..3..3..1....0..1..1..1
..3..2..2..3....1..3..3..2....3..1..1..2....3..1..3..3....1..3..2..3
..1..1..2..1....1..3..0..2....0..1..0..0....3..1..1..1....0..3..3..0

Crossrefs

Sequence in context: A336658 A321158 A046192 * A278193 A031868 A205630

Adjacent sequences: A210148 A210149 A210150 * A210152 A210153 A210154

Keyword

nonn

Author

R. H. Hardin Mar 18 2012

Status

approved