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 A252172 Number of length n+2 0..3 arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero 1

%I

%S 4,132,264,1872,6820,31420,123826,515268,2058802,8332796,33350162,

%T 133891940,535789038,2145632584,8584207782,34349419412,137408677592,

%U 549699224224,2198863697876,8795786194236,35183533311476,140735839290104

%N Number of length n+2 0..3 arrays with the sum of the maximum minus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero

%C Column 3 of A252177

%H R. H. Hardin, <a href="/A252172/b252172.txt">Table of n, a(n) for n = 1..129</a>

%F Empirical: a(n) = 13*a(n-1) -60*a(n-2) +76*a(n-3) +310*a(n-4) -1328*a(n-5) +1601*a(n-6) +1043*a(n-7) -4739*a(n-8) +6283*a(n-9) -16535*a(n-10) +47913*a(n-11) -56399*a(n-12) -41587*a(n-13) +227738*a(n-14) -387264*a(n-15) +541852*a(n-16) -755788*a(n-17) +635056*a(n-18) +469432*a(n-19) -2549608*a(n-20) +5018568*a(n-21) -7394016*a(n-22) +8952448*a(n-23) -8287952*a(n-24) +4052560*a(n-25) +3641808*a(n-26) -12878128*a(n-27) +21320784*a(n-28) -27162288*a(n-29) +29035680*a(n-30) -26480832*a(n-31) +20563584*a(n-32) -13528064*a(n-33) +7524864*a(n-34) -3517952*a(n-35) +1345536*a(n-36) -396288*a(n-37) +79872*a(n-38) -8192*a(n-39) for n>40

%e Some solutions for n=6

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified November 17 18:42 EST 2018. Contains 317276 sequences. (Running on oeis4.)