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 A189607 Number of nX6 array permutations with each element not moving, or moving one space E, S or NW 1

%I

%S 1,60,912,17617,321815,5897476,107793872,1968061359,35917517449,

%T 655347656612,11956214759290,218119695889901,3979116037755048,

%U 72589531392230391,1324217776135660990,24157052394845982633

%N Number of nX6 array permutations with each element not moving, or moving one space E, S or NW

%C Column 6 of A189610

%H R. H. Hardin, <a href="/A189607/b189607.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 27*a(n-1) -127*a(n-2) -740*a(n-3) +747*a(n-4) +34995*a(n-5) -5506*a(n-6) -248292*a(n-7) -1174016*a(n-8) +1007958*a(n-9) -6861339*a(n-10) +41430256*a(n-11) +51611008*a(n-12) +198872876*a(n-13) -868258957*a(n-14) +1605556233*a(n-15) -7531204340*a(n-16) +1848561932*a(n-17) +6186956818*a(n-18) -4662718722*a(n-19) +45191482278*a(n-20) +97124216354*a(n-21) -55135475594*a(n-22) -27287536597*a(n-23) -171514334842*a(n-24) -726729691066*a(n-25) -629428131178*a(n-26) +173178060771*a(n-27) +427006220020*a(n-28) +2317766584100*a(n-29) +4411572299192*a(n-30) +3018492633598*a(n-31) -49374942909*a(n-32) -3044087792460*a(n-33) -10242069320303*a(n-34) -13737406955417*a(n-35) -8647612812832*a(n-36) -447720866054*a(n-37) +8671998792069*a(n-38) +20571483610312*a(n-39) +21760073504185*a(n-40) +12564766054592*a(n-41) -39461914321*a(n-42) -12111944579432*a(n-43) -21521945563638*a(n-44) -18557201154461*a(n-45) -9762845716612*a(n-46) +1789973055064*a(n-47) +9250208603329*a(n-48) +12844537868975*a(n-49) +9355142418757*a(n-50) +4273826939521*a(n-51) -1198279677480*a(n-52) -3756392714910*a(n-53) -4341134125770*a(n-54) -2896130615108*a(n-55) -1279535523194*a(n-56) +117809240013*a(n-57) +724830885103*a(n-58) +833606712872*a(n-59) +593545615487*a(n-60) +315058164501*a(n-61) +91626028809*a(n-62) -22707962227*a(n-63) -62984709313*a(n-64) -59302149654*a(n-65) -42411923185*a(n-66) -25348175173*a(n-67) -13452835237*a(n-68) -6385446334*a(n-69) -2765569003*a(n-70) -1092490969*a(n-71) -398969847*a(n-72) -133968639*a(n-73) -41534265*a(n-74) -11796130*a(n-75) -3102673*a(n-76) -750560*a(n-77) -165926*a(n-78) -32497*a(n-79) -5745*a(n-80) -925*a(n-81) -136*a(n-82) -15*a(n-83) -a(n-84) for n>85

%e Some solutions for 3X6

%e ..0..8..2.10..3..5....0..1..2..3.11..5....0..1..9..3.11..4....0..1..2.10.11..4

%e ..6..1.15..9..4.11....6..7.15..9..4.10...13..6..2..8.10..5....6.14..8..3..9..5

%e .12..7.13.14.16.17...12.13..8.14.16.17...12..7.14.15.16.17...12..7.13.15.16.17

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 24 2011

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Last modified June 25 19:25 EDT 2022. Contains 354851 sequences. (Running on oeis4.)