A229009 - OEIS

%I #8 Sep 13 2013 20:07:51

%S 6,34,186,794,3002,10860,38768,139456,506236,1849846,6780968,24874236,

%T 91221120,334365156,1225151856,4488311694,16442040398,60232977210,

%U 220660283800,808393136582,2961592442222,10849984832400,39749595896184

%N Number of arrays of median of three adjacent elements of some length n+2 0..5 array, with no adjacent equal elements in the latter.

%C Column 5 of A229012.

%H R. H. Hardin, <a href="/A229009/b229009.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -2*a(n-2) -20*a(n-3) +22*a(n-4) +82*a(n-5) -149*a(n-6) -43*a(n-7) +448*a(n-8) -234*a(n-9) -682*a(n-10) +1345*a(n-11) +224*a(n-12) -2593*a(n-13) +2526*a(n-14) +1704*a(n-15) -5131*a(n-16) +3300*a(n-17) +3626*a(n-18) -8749*a(n-19) +6357*a(n-20) +4147*a(n-21) -16222*a(n-22) +17531*a(n-23) -1049*a(n-24) -26481*a(n-25) +39209*a(n-26) -20438*a(n-27) -26566*a(n-28) +64130*a(n-29) -57341*a(n-30) +140*a(n-31) +70204*a(n-32) -97044*a(n-33) +51459*a(n-34) +41116*a(n-35) -107708*a(n-36) +100930*a(n-37) -16302*a(n-38) -75708*a(n-39) +115023*a(n-40) -67934*a(n-41) -19000*a(n-42) +85062*a(n-43) -80464*a(n-44) +25613*a(n-45) +34418*a(n-46) -57825*a(n-47) +36505*a(n-48) +585*a(n-49) -24392*a(n-50) +24406*a(n-51) -9363*a(n-52) -5285*a(n-53) +9392*a(n-54) -6018*a(n-55) +851*a(n-56) +2156*a(n-57) -2078*a(n-58) +767*a(n-59) +139*a(n-60) -384*a(n-61) +244*a(n-62) -37*a(n-63) -36*a(n-64) +32*a(n-65) -11*a(n-66) +2*a(n-68) -a(n-69)

%e Some solutions for n=4

%e ..5....1....5....2....4....5....0....1....3....1....1....3....0....5....2....4

%e ..1....0....2....4....5....0....4....1....1....1....3....3....4....0....2....2

%e ..3....4....3....4....1....3....1....3....4....4....2....3....2....5....3....5

%e ..0....1....3....2....2....2....2....2....1....2....2....4....2....4....3....4

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 10 2013