A200765 Number of 0..n arrays x(0..4) of 5 elements with nondecreasing average value

6, 32, 110, 297, 679, 1387, 2583, 4500, 7410, 11669, 17687, 25980, 37111, 51787, 70763, 94950, 125323, 163042, 209312, 265570, 333296, 414214, 510106, 623032, 755080, 908676, 1086266, 1290643, 1524638, 1791469, 2094349, 2436949, 2822922

Offset

1,1

Comments

Row 5 of A200763

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) -3*a(n-4) -3*a(n-5) +3*a(n-6) +3*a(n-7) +a(n-8) -3*a(n-9) -3*a(n-10) +a(n-11) +3*a(n-12) +3*a(n-13) -3*a(n-14) -3*a(n-15) +2*a(n-17) +a(n-18) -a(n-19)

Empirical g.f.: -x*(-6 -26*x -66*x^2 -123*x^3 -180*x^4 -228*x^5 -246*x^6 -250*x^7 -240*x^8 -222*x^9 -184*x^10 -129*x^11 -69*x^12 -21*x^13 -2*x^14 -x^15 -2*x^16 -x^17+x^18) / ( (x^2+1) *(x^4+1) *(1+x+x^2)^2 *(1+x)^3 *(x-1)^6 ). - R. J. Mathar, Nov 22 2011

Example

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

Crossrefs

Sequence in context: A360839 A102359 A000397 * A239573 A130410 A202807

Adjacent sequences: A200762 A200763 A200764 * A200766 A200767 A200768

Keyword

nonn

Author

R. H. Hardin, Nov 22 2011

Status

approved