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Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -4*a(n-4) +4*a(n-5) -5*a(n-6) +4*a(n-7) -5*a(n-8) +8*a(n-9) -5*a(n-10) +4*a(n-11) -5*a(n-12) +4*a(n-13) -4*a(n-14) +2*a(n-15) -a(n-16) +2*a(n-17) -a(n-18)).

Empirical: G.f.: -x*(-8 -27*x -94*x^2 -188*x^3 -356*x^4 -492*x^5 -640*x^6 -651*x^7 -644*x^8 -492*x^9 -356*x^10 -187*x^11 -96*x^12 -24*x^13 -8*x^14 -2*x^16 +x^17) ) / ( (1+x+x^2)^2*(x^4+x^3+x^2+x+1)^2*(x-1)^6 ). - R. J. Mathar, Jul 12 2014

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R. H. Hardin, <a href="/A245136/b245136.txt">Table of n, a(n) for n = 1..210</a>

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Number of length 6 0..n arrays least squares fitting to a zero slope straight line, with a single point taken as having zero slope

8, 43, 172, 505, 1248, 2687, 5220, 9385, 15868, 25539, 39428, 58805, 85144, 120163, 165900, 224593, 298832, 391539, 505928, 645645, 814656, 1017335, 1258484, 1543341, 1877624, 2267451, 2719516, 3240965, 3839476, 4523383, 5301420, 6183009

1,1

Row 6 of A245134

Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -4*a(n-4) +4*a(n-5) -5*a(n-6) +4*a(n-7) -5*a(n-8) +8*a(n-9) -5*a(n-10) +4*a(n-11) -5*a(n-12) +4*a(n-13) -4*a(n-14) +2*a(n-15) -a(n-16) +2*a(n-17) -a(n-18)

Some solutions for n=10

..7....9....8....6....7....7....6....3....3....0....0....3....4....2....2....6

.10....0....3....2....9....9...10....0....6....9....6....0....7....4....7....4

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

..8....3....3...10....2....4....0....0....6....8....0....1....5....0....4....0

..3...10....1....0....9....6....6....3...10....5....9....5....2....1....4....2

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

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R. H. Hardin, Jul 12 2014

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