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Number of length 7 0..n arrays least squares fitting to a zero slope straight line, with a single point taken as having zero slope
1

%I #4 Jul 12 2014 07:11:44

%S 20,195,1064,4005,11856,29813,66256,134091,252060,446193,751536,

%T 1214369,1893612,2863755,4217056,6065957,8545968,11819349,16076760,

%U 21542115,28475524,37176625,47988672,61303825,77564708,97271523,120985592

%N Number of length 7 0..n arrays least squares fitting to a zero slope straight line, with a single point taken as having zero slope

%C Row 7 of A245134

%H R. H. Hardin, <a href="/A245137/b245137.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) -6*a(n-4) -6*a(n-5) +7*a(n-6) +11*a(n-7) -11*a(n-9) -7*a(n-10) +6*a(n-11) +6*a(n-12) -3*a(n-14) -a(n-15) +a(n-16)

%e Some solutions for n=8

%e ..4....6....4....0....5....5....4....1....6....5....6....5....3....5....1....3

%e ..2....1....5....7....3....8....3....2....0....1....2....6....7....4....7....7

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

%e ..6....0....0....3....0....7....5....1....2....7....2....8....1....1....6....1

%e ..5....2....5....2....7....5....0....5....1....7....7....6....8....5....2....6

%e ..0....7....0....6....2....8....2....1....8....5....7....2....0....2....2....0

%e ..4....4....6....2....6....6....7....1....1....2....1....8....5....7....5....6

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 12 2014