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A205471 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order 1

%I #5 Mar 31 2012 12:37:06

%S 677,9654,147129,2368164,38649376,637115198,10546235416,175062268404,

%T 2910381717975,48432892623689,806480855084974,13434383228654935,

%U 223845611339717176,3730339300748533737,62171596821236304515

%N Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order

%C Column 4 of A205475

%H R. H. Hardin, <a href="/A205471/b205471.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 49*a(n-1) -861*a(n-2) +5021*a(n-3) +33602*a(n-4) -616384*a(n-5) +2159023*a(n-6) +13154843*a(n-7) -126262661*a(n-8) +166866281*a(n-9) +1911261129*a(n-10) -8190366005*a(n-11) -4199925495*a(n-12) +98595747627*a(n-13) -158149981614*a(n-14) -480297554430*a(n-15) +1810623448866*a(n-16) +73856868140*a(n-17) -8830642410840*a(n-18) +10313214783034*a(n-19) +20233405349590*a(n-20) -52335000413976*a(n-21) -5155452594933*a(n-22) +125085995184875*a(n-23) -89591754726765*a(n-24) -148493098940275*a(n-25) +234688188015153*a(n-26) +38812319081071*a(n-27) -279162204744067*a(n-28) +118502255969331*a(n-29) +160693504928624*a(n-30) -157107476872016*a(n-31) -21108318004391*a(n-32) +83650248017101*a(n-33) -23794461371173*a(n-34) -18974234968177*a(n-35) +12562468145490*a(n-36) +410664770730*a(n-37) -2327194771228*a(n-38) +521150033512*a(n-39) +137884941320*a(n-40) -72598222160*a(n-41) +5036772224*a(n-42) +2386207040*a(n-43) -520260992*a(n-44) +31264768*a(n-45)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 27 2012

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)