A245135 Number of length 5 0..n arrays least squares fitting to a zero slope straight line, with a single point taken as having zero slope

8, 39, 112, 275, 552, 1029, 1728, 2781, 4200, 6171, 8688, 11999, 16072, 21225, 27392, 34969, 43848, 54511, 66800, 81291, 97768, 116909, 138432, 163125, 190632, 221859, 256368, 295191, 337800, 385361, 437248, 494769, 557192, 625975, 700272, 781699

Offset

1,1

Comments

Row 5 of A245134

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-2) -6*a(n-3) +6*a(n-5) -2*a(n-6) -2*a(n-7) +a(n-8).

Empirical: G.f.: -x*(8+23*x+18*x^2+21*x^3+12*x^4-x^5-2*x^6+x^7) / ( (1+x)^3*(x-1)^5 ). - R. J. Mathar, Jul 12 2014

Example

Some solutions for n=10
..8....8....5....6....6....7....5....1....9....5....7....4....4....0....7....4
..0....0....6....3....5....6....6....6....0....2....1....7...10....6....1....8
..3....6....2....7....3....4....6....6...10....2....7....9....0....0....4....0
..6....0...10....1....9....6....4....8....0...10....3....7....2....0....3....0
..5....8....3....7....4....7....6....0....9....1....6....4....8....3....6....8

Crossrefs

Sequence in context: A003353 A209368 A190097 * A200157 A101374 A163687

Adjacent sequences: A245132 A245133 A245134 * A245136 A245137 A245138

Keyword

nonn

Author

R. H. Hardin, Jul 12 2014

Status

approved