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 A206104 Number of (n+1) X 4 0..3 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards. 1

%I #7 Dec 11 2015 12:00:08

%S 15564,359932,8114696,210981300,5942161220,173412646632,5144980591044,

%T 153835526412512,4616658248666284,138790240963420608,

%U 4175920905674323304,125695093523190307792,3784137219476927626992,113934402749687293998780

%N Number of (n+1) X 4 0..3 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards.

%C Column 3 of A206109.

%H R. H. Hardin, <a href="/A206104/b206104.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 94*a(n-1) -3502*a(n-2) +63809*a(n-3) -472905*a(n-4) -2595462*a(n-5) +78928424*a(n-6) -478127141*a(n-7) -1778644760*a(n-8) +37282432094*a(n-9) -119671854120*a(n-10) -868014284254*a(n-11) +7532796741663*a(n-12) -3608505592086*a(n-13) -171294209643662*a(n-14) +593518884934553*a(n-15) +1559135897722344*a(n-16) -13612224376409840*a(n-17) +8402282295194579*a(n-18) +158090581754468320*a(n-19) -399615961856260794*a(n-20) -930597635056800687*a(n-21) +5231536653578080630*a(n-22) -16300579477818028*a(n-23) -39879042016503669302*a(n-24) +51417635497736262232*a(n-25) +190776299055422365564*a(n-26) -509405636565269628046*a(n-27) -482967372967398024687*a(n-28) +2946305468020947942378*a(n-29) -503520896503148866715*a(n-30) -11738313482648626215767*a(n-31) +11259908810067816874435*a(n-32) +32983832656762604594371*a(n-33) -60016987958198839392758*a(n-34) -60116429296453274182371*a(n-35) +206628959065086865762119*a(n-36) +34719204030769461535056*a(n-37) -522702840377890922941976*a(n-38) +200090960263262946916535*a(n-39) +1003794392256950370892916*a(n-40) -879184358965042621699346*a(n-41) -1443612852923087140508932*a(n-42) +2146158927243222371697354*a(n-43) +1417541283736759793106557*a(n-44) -3793505289769735451682926*a(n-45) -525711159429325958071880*a(n-46) +5175746635001211411459887*a(n-47) -1201373357372959738099906*a(n-48) -5531035449930064977956934*a(n-49) +3125441854238359216716899*a(n-50) +4552840379508438328331202*a(n-51) -4347248475561350318943196*a(n-52) -2687546095058377284732019*a(n-53) +4347910961801709628180370*a(n-54) +823296810232762798316626*a(n-55) -3332327552634731531934138*a(n-56) +348778390237063800762584*a(n-57) +1975463317762401124223904*a(n-58) -708660825232848786418302*a(n-59) -882117225219820150939085*a(n-60) +570428087142062145315202*a(n-61) +269632082216042493474473*a(n-62) -307985606443812759126233*a(n-63) -34548320862136845793360*a(n-64) +120158588632789848272861*a(n-65) -15710698638302849407962*a(n-66) -33428424929277566907496*a(n-67) +11832277166708843700320*a(n-68) +5980486691982838603248*a(n-69) -4058306683044952989504*a(n-70) -386324378435674161168*a(n-71) +853129079011465070940*a(n-72) -115599460893722093700*a(n-73) -104551484383957295592*a(n-74) +37356314646577302792*a(n-75) +4406178426021410904*a(n-76) -4680100051879941504*a(n-77) +582459358301089776*a(n-78) +218825138936425536*a(n-79) -78174913987776096*a(n-80) +5074147271548224*a(n-81) +1803453115788864*a(n-82) -441422767939968*a(n-83) +40016636209152*a(n-84) -1371372871680*a(n-85) for n>92.

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 03 2012

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Last modified September 30 21:59 EDT 2023. Contains 365812 sequences. (Running on oeis4.)