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 A200764 Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value 1
 5, 19, 51, 113, 219, 388, 638, 995, 1483, 2133, 2975, 4047, 5383, 7028, 9022, 11415, 14253, 17593, 21485, 25993, 31173, 37094, 43818, 51421, 59969, 69545, 80221, 92085, 105215, 119706, 135640, 153119, 172231, 193083, 215769, 240403, 267083, 295930 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 4 of A200763 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 2*a(n-1) +a(n-2) -3*a(n-3) -a(n-4) +a(n-5) +3*a(n-6) -a(n-7) -2*a(n-8) +a(n-9). Empirical g.f.: -x*(5+9*x+8*x^2+7*x^3+4*x^4+4*x^5-x^6-2*x^7+x^8) / ( (1+x+x^2)*(1+x)^2*(x-1)^5 ). - R. J. Mathar, Nov 22 2011 EXAMPLE Some solutions for n=8 ..0....5....0....2....0....1....2....2....3....3....0....0....2....0....2....1 ..4....6....1....4....0....4....3....5....4....3....5....2....4....1....7....1 ..3....8....1....3....5....7....4....8....4....7....4....7....4....5....7....6 ..3....7....1....5....7....4....7....7....7....6....4....7....4....5....6....3 CROSSREFS Sequence in context: A328191 A100104 A015650 * A285987 A055365 A209817 Adjacent sequences:  A200761 A200762 A200763 * A200765 A200766 A200767 KEYWORD nonn AUTHOR R. H. Hardin Nov 22 2011 STATUS approved

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Last modified December 7 09:15 EST 2021. Contains 349574 sequences. (Running on oeis4.)