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A200944 Number of 0..n arrays x(0..4) of 5 elements with nondecreasing average value and 0..n occur with instance counts within one of each other. 1
2, 9, 17, 8, 44, 151, 398, 890, 1774, 3246, 5555, 9016, 14012, 21005, 30529, 43228, 59824, 81159, 108166, 141927, 183608, 234553, 296197, 370168, 458195, 562234, 684319, 826757, 991940, 1182536, 1401309, 1651348, 1935801, 2258191, 2622105 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A200942.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-2) +2*a(n-3) -a(n-4) -3*a(n-5) -a(n-6) +a(n-8) +a(n-9) +a(n-10) -a(n-11) -a(n-12) +a(n-13) +a(n-14) +a(n-15) -a(n-17) -3*a(n-18) -a(n-19) +2*a(n-20) +2*a(n-21) -a(n-23) for n>26.

Empirical g.f.: 2*x +9*x^2 +17*x^3 +x^4*(8+44*x +135*x^2+294*x^3 +508*x^4+744*x^5 +961*x^6+1122*x^7 +1203*x^8+1200*x^9 +1118*x^10+955*x^11 +734*x^12+496*x^13 +289*x^14+128*x^15 +35*x^16+x^17) / ( (x^2+1)*(x^4+x^3+x^2+x+1)*(x^4+1)*(1+x+x^2)^2*(1+x)^3*(x-1)^6 ). - R. J. Mathar, Nov 25 2011

EXAMPLE

Some solutions for n=8

..0....0....0....0....0....1....0....1....0....1....0....0....0....0....1....2

..2....2....1....1....2....2....2....2....2....2....4....4....5....1....2....4

..7....7....3....8....1....8....3....5....1....5....2....5....3....3....5....5

..3....4....2....5....6....4....4....4....4....7....7....3....6....4....6....6

..4....5....6....7....8....7....5....3....7....8....5....8....4....2....8....7

CROSSREFS

Cf. A200942.

Sequence in context: A062981 A069622 A334193 * A137189 A028503 A100291

Adjacent sequences:  A200941 A200942 A200943 * A200945 A200946 A200947

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 24 2011

STATUS

approved

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Last modified June 24 14:24 EDT 2021. Contains 345417 sequences. (Running on oeis4.)