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%I #4 Nov 03 2014 09:54:04
%S 2077,2589,3221,3981,4877,5917,7709,9957,12707,16005,19897,26589,
%T 35003,45331,57773,72537,98073,130311,169993,217901,274857,373909,
%U 499355,654105,841221,1063917,1452913,1946663,2556733,3295241,4174857,5716733
%N Number of length n+4 0..6 arrays with every five consecutive terms having four times some element equal to the sum of the remaining four
%C Column 6 of A249656
%H R. H. Hardin, <a href="/A249654/b249654.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +22*a(n-5) -22*a(n-6) -208*a(n-10) +208*a(n-11) +1108*a(n-15) -1108*a(n-16) -3672*a(n-20) +3672*a(n-21) +7922*a(n-25) -7922*a(n-26) -11388*a(n-30) +11388*a(n-31) +11046*a(n-35) -11046*a(n-36) -7181*a(n-40) +7181*a(n-41) +2915*a(n-45) -2915*a(n-46) -560*a(n-50) +560*a(n-51) -61*a(n-55) +61*a(n-56) +54*a(n-60) -54*a(n-61) -8*a(n-65) +8*a(n-66)
%e Some solutions for n=6
%e ..0....5....0....4....1....5....4....6....1....1....4....2....2....3....3....2
%e ..6....5....1....6....5....1....6....0....3....0....5....0....4....2....1....1
%e ..2....0....6....5....5....2....1....6....4....1....1....1....6....1....3....0
%e ..1....6....5....5....4....2....4....0....6....2....5....1....0....6....1....1
%e ..1....4....3....5....5....0....5....3....1....6....5....6....3....3....2....6
%e ..0....5....0....4....6....0....4....6....6....1....4....2....2....3....3....2
%e ..1....5....1....6....0....6....6....0....3....0....5....0....4....2....1....1
%e ..2....0....6....0....5....2....6....6....4....1....6....1....1....1....3....0
%e ..1....6....5....5....4....2....4....0....1....2....5....1....5....6....6....1
%e ..1....4....3....5....5....0....0....3....6....1....0....1....3....3....2....6
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 03 2014