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A209782 Half the number of (n+1)X4 0..3 arrays with every 2X2 subblock having exactly one duplicate clockwise edge difference 1

%I #5 Mar 31 2012 12:37:30

%S 5074,266126,13606964,706149734,36572974507,1896474527890,

%T 98317767405921,5097617301286476,264295748887558931,

%U 13703084181067054265,710468822271247881890,36835984456424649204016,1909850487281982555064532

%N Half the number of (n+1)X4 0..3 arrays with every 2X2 subblock having exactly one duplicate clockwise edge difference

%C Column 3 of A209787

%H R. H. Hardin, <a href="/A209782/b209782.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 54*a(n-1) +811*a(n-2) -51349*a(n-3) -166299*a(n-4) +19801869*a(n-5) -18589012*a(n-6) -4101236650*a(n-7) +12106692083*a(n-8) +522204561750*a(n-9) -2133139567286*a(n-10) -44302192597730*a(n-11) +212385045716015*a(n-12) +2640129466505499*a(n-13) -13940473525126969*a(n-14) -114632300858742892*a(n-15) +647381918207313518*a(n-16) +3721001544036821939*a(n-17) -22175458303589022747*a(n-18) -91939906319896776693*a(n-19) +575976881227472300745*a(n-20) +1749902600744277624383*a(n-21) -11565734755485153062474*a(n-22) -25825132368220198929892*a(n-23) +182066347079497515694262*a(n-24) +295833365528676029729579*a(n-25) -2269472946598152733171957*a(n-26) -2614444259021077148257414*a(n-27) +22557976359617472162649148*a(n-28) +17502557269402426792988952*a(n-29) -179610909662124275896415048*a(n-30) -84720754211264460923859721*a(n-31) +1148410132374158584178498379*a(n-32) +255794786126403877793162167*a(n-33) -5900233971689400194509318392*a(n-34) -103165596248703868810885801*a(n-35) +24333128248303344838862781605*a(n-36) -3705999762618129531694605021*a(n-37) -80344151912682361937999134608*a(n-38) +23510475490699508146827651848*a(n-39) +211530735627633010710000985327*a(n-40) -86283095164992531054020140184*a(n-41) -441669351513630020062576009374*a(n-42) +221451103033032949071828336349*a(n-43) +726476088259999723882409511376*a(n-44) -418057683077443553994284301690*a(n-45) -933995394221031421686520648858*a(n-46) +589953021275101110618439397518*a(n-47) +930263336229946908552660816481*a(n-48) -623971147040381563659540427757*a(n-49) -710684155714424877986848647167*a(n-50) +492360910956300366190738191303*a(n-51) +411782620271684891166242340609*a(n-52) -287059998635311995636010186383*a(n-53) -178593274961170493796643211169*a(n-54) +121905473003706579937043479632*a(n-55) +57033176243225660889051340024*a(n-56) -36983396899347221405173022451*a(n-57) -13112582891235803854488164397*a(n-58) +7810949460402135004236078504*a(n-59) +2099180893466335712150346648*a(n-60) -1109365179295187684941267747*a(n-61) -222280838840941151603522801*a(n-62) +101048573139917374425094941*a(n-63) +14395919495411324714618170*a(n-64) -5517761466094213528847310*a(n-65) -508860371425531391630378*a(n-66) +163609189508314347827730*a(n-67) +8488127797102121387158*a(n-68) -2301036983662855462912*a(n-69) -38337891074084735666*a(n-70) +11398541850613068292*a(n-71) -227583102465812960*a(n-72)

%e Some solutions for n=4

%e ..2..2..3..1....2..1..2..3....0..2..2..1....1..3..3..3....0..2..1..3

%e ..1..2..1..1....3..1..3..3....0..0..1..1....1..3..1..3....2..2..1..1

%e ..2..2..3..2....2..1..1..2....1..0..0..0....3..3..1..1....2..0..1..2

%e ..3..1..1..1....3..3..1..1....1..2..0..3....1..3..2..3....1..0..0..2

%e ..1..1..2..1....2..1..1..2....3..0..0..0....1..1..1..1....0..0..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 13 2012

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Last modified July 19 22:34 EDT 2024. Contains 374441 sequences. (Running on oeis4.)