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

2705, 95564, 3750866, 146904738, 5847666690, 230158920084, 9140244711946, 360781344241798, 14301931856599428, 565213648367033108, 22386943865650199360, 885281331841518959834, 35048405220530170120114

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: A193172 A367668 A281838 * A205436 A031550 A083615

Adjacent sequences: A205602 A205603 A205604 * A205606 A205607 A205608

Keyword

nonn

Author

R. H. Hardin Jan 29 2012

Status

approved