A248438 - OEIS

%I #4 Oct 06 2014 16:43:41

%S 2,9,36,165,342,601,884,1381,1922,2533,3144,3957,4770,5613,6524,7697,

%T 8870,10149,11428,12873,14362,15857,17352,19165,21026,22893,24804,

%U 26841,28878,31061,33244,35697,38170,40649,43200,45977,48754,51537,54340,57421

%N Number of length 5+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third

%C Row 5 of A248433

%H R. H. Hardin, <a href="/A248438/b248438.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) -a(n-2) -a(n-6) +2*a(n-7) -3*a(n-8) +3*a(n-9) -a(n-10) +2*a(n-13) -3*a(n-14) +4*a(n-15) -4*a(n-16) +3*a(n-17) -a(n-18) -a(n-20) +3*a(n-21) -4*a(n-22) +4*a(n-23) -3*a(n-24) +2*a(n-25) -a(n-28) +3*a(n-29) -3*a(n-30) +2*a(n-31) -a(n-33) +a(n-34) -a(n-36) +a(n-37) -2*a(n-39) +3*a(n-40) -3*a(n-41) +a(n-42) -2*a(n-45) +3*a(n-46) -4*a(n-47) +4*a(n-48) -3*a(n-49) +a(n-50) +a(n-52) -3*a(n-53) +4*a(n-54) -4*a(n-55) +3*a(n-56) -2*a(n-57) +a(n-60) -3*a(n-61) +3*a(n-62) -2*a(n-63) +a(n-64) +a(n-68) -a(n-69) +a(n-70)

%e Some solutions for n=6

%e ..0....0....1....2....2....6....5....6....3....6....6....6....6....0....3....2

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

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

%e ..3....0....1....2....2....3....5....3....6....3....0....3....3....3....3....5

%e ..5....1....1....4....2....5....1....5....5....4....1....4....1....5....2....6

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

%e ..3....3....1....5....2....3....5....3....3....0....0....3....0....6....0....2

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 06 2014