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A206380 Number of (n+1)X6 0..3 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order 1

%I

%S 44585,10690969,2808967145,748963157161,200108001096137,

%T 53482634218458697,14294968502144130953,3820826066766517546921,

%U 1021249666781298003730505,272964826866462882832853641

%N Number of (n+1)X6 0..3 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 5 of A206383

%H R. H. Hardin, <a href="/A206380/b206380.txt">Table of n, a(n) for n = 1..72</a>

%F Empirical: a(n) = 394*a(n-1) -38562*a(n-2) +1246392*a(n-3) +6334675*a(n-4) -1215511426*a(n-5) +25096715040*a(n-6) -111433495776*a(n-7) -2633554263696*a(n-8) +38447016473440*a(n-9) -124529929487104*a(n-10) -973109346072576*a(n-11) +8528195948079360*a(n-12) -13461810857735680*a(n-13) -67310021223342080*a(n-14) +238037998037753856*a(n-15) +44544280591749120*a(n-16) -947327372288188416*a(n-17) +643157082054918144*a(n-18) +987246769084563456*a(n-19) -892353207989698560*a(n-20)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 07 2012

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Last modified August 1 17:43 EDT 2021. Contains 346402 sequences. (Running on oeis4.)