A209461 Number of nX4 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.
15, 700, 107472, 26142922, 8012278798, 2694404849980, 937020001725427, 329698685591776814, 116478477506382991586, 41208120649861041328594, 14585813504694387764542258, 5163586671381153188498288526
Offset: 1
Keywords
Examples
Some.solutions.for.n=4 ..0..1..0..0....0..0..0..1....0..1..1..0....0..0..0..0....0..1..2..1 ..0..2..1..2....2..3..1..2....2..0..2..0....1..2..1..2....1..2..0..0 ..0..1..3..1....0..0..3..1....1..2..3..2....0..2..3..1....0..0..3..4 ..0..2..2..2....1..2..0..3....0..0..0..3....0..1..1..4....1..2..0..3
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 445*a(n-1) -16724*a(n-2) -6829442*a(n-3) +425591990*a(n-4) +24184676824*a(n-5) -2003243723592*a(n-6) -13763458467748*a(n-7) +3056362447165464*a(n-8) -21627878272249304*a(n-9) -2029212853652220216*a(n-10) +28420879571353866736*a(n-11) +629172550069243165424*a(n-12) -12639966451485066876640*a(n-13) -86182077853495170865408*a(n-14) +2735491326134206206383232*a(n-15) +2903173644048356636793984*a(n-16) -330995326037510772586662272*a(n-17) +548472275306500667348231040*a(n-18) +24119429078647666871628591360*a(n-19) -73980455487855760024028638464*a(n-20) -1106883636299545527909945293312*a(n-21) +4138072035906627647242997043200*a(n-22) +33143037572510239567740461978624*a(n-23) -127626560667065292804603082412032*a(n-24) -670244550685808176819553023221760*a(n-25) +2324071862180088735462417275084800*a(n-26) +9301947054683461351288165219942400*a(n-27) -25275371467923494811033198815182848*a(n-28) -86564162243269555830237302308208640*a(n-29) +160836131708205440217973980668624896*a(n-30) +508044890654947403039030776702173184*a(n-31) -580869391543190835146635714165211136*a(n-32) -1736356953978805111720511551328747520*a(n-33) +1196798002553675840426691890553815040*a(n-34) +3180957198473295518827632622829568000*a(n-35) -1545683172554581444784017951948800000*a(n-36) -2843829257934103086795545640960000000*a(n-37) +1252556305409710302651482112000000000*a(n-38) +967672505058411923531366400000000000*a(n-39) -457884355579447187865600000000000000*a(n-40) for n>41
Comments