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A200765 Number of 0..n arrays x(0..4) of 5 elements with nondecreasing average value 1
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 (list; graph; refs; listen; history; text; internal format)
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: A090382 A102359 A000397 * A239573 A130410 A202807

Adjacent sequences:  A200762 A200763 A200764 * A200766 A200767 A200768

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 22 2011

STATUS

approved

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Last modified December 6 06:14 EST 2021. Contains 349563 sequences. (Running on oeis4.)