A200444 - OEIS

%I #9 Apr 08 2014 00:16:51

%S 2,3,4,5,6,9,14,19,24,33,42,53,64,77,94,115,136,159,182,209,242,279,

%T 316,355,398,445,492,549,606,673,740,811,882,957,1042,1137,1232,1331,

%U 1430,1541,1652,1779,1906,2037,2176,2323,2470,2623,2786,2961,3140,3327,3514

%N Number of 0..n arrays x(0..7) of 8 elements with zero 3rd differences.

%C Row 4 of A200443.

%H R. H. Hardin, <a href="/A200444/b200444.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = -a(n-3) +a(n-7) +2*a(n-10) +a(n-13) +a(n-15) -a(n-17) +a(n-18) -a(n-20) +a(n-21) -a(n-22) +a(n-24) -2*a(n-25) -2*a(n-28) -2*a(n-31) +a(n-32) -a(n-34) +a(n-35) -a(n-36) +a(n-38) -a(n-39) +a(n-41) +a(n-43) +2*a(n-46) +a(n-49) -a(n-53) -a(n-56).

%e Some solutions for n=10

%e ..0....4....6....9....9....0....8....2....2....6....7...10....1....7....8...10

%e ..4....7....6....9....8....3....7....3....5....3....4....6....2....7....5...10

%e ..7....9....6....9....7....5....6....4....7....1....2....3....3....7....3...10

%e ..9...10....6....9....6....6....5....5....8....0....1....1....4....7....2...10

%e .10...10....6....9....5....6....4....6....8....0....1....0....5....7....2...10

%e .10....9....6....9....4....5....3....7....7....1....2....0....6....7....3...10

%e ..9....7....6....9....3....3....2....8....5....3....4....1....7....7....5...10

%e ..7....4....6....9....2....0....1....9....2....6....7....3....8....7....8...10

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 18 2011