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 A250143 Number of length 4+2 0..n arrays with the medians of every three consecutive terms nondecreasing. 1
 41, 391, 1959, 6902, 19446, 46914, 100962, 199023, 365959, 635921, 1054417, 1680588, 2589692, 3875796, 5654676, 8066925, 11281269, 15498091, 20953163, 27921586, 36721938, 47720630, 61336470, 78045435, 98385651, 122962581 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (13/45)*n^6 + (5/2)*n^5 + (595/72)*n^4 + (53/4)*n^3 + (3941/360)*n^2 + (19/4)*n + 1. Conjectures from Colin Barker, Nov 11 2018: (Start) G.f.: x*(41 + 104*x + 83*x^2 - 35*x^3 + 21*x^4 - 7*x^5 + x^6) / (1 - x)^7. a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>7. (End) EXAMPLE Some solutions for n=6: 6 0 5 2 0 0 0 0 0 2 0 4 1 1 4 3 0 0 2 5 3 4 6 2 0 3 5 6 3 1 0 3 1 4 2 2 0 0 2 3 1 5 4 0 2 6 4 1 6 0 2 1 4 5 2 6 0 5 4 6 2 5 6 3 6 3 6 3 5 5 6 1 6 5 5 6 3 2 6 4 5 6 6 5 4 6 2 5 6 3 1 4 1 6 2 5 CROSSREFS Row 4 of A250140. Sequence in context: A196576 A090211 A274725 * A069594 A124338 A008356 Adjacent sequences: A250140 A250141 A250142 * A250144 A250145 A250146 KEYWORD nonn AUTHOR R. H. Hardin, Nov 13 2014 STATUS approved

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Last modified June 10 13:16 EDT 2023. Contains 363205 sequences. (Running on oeis4.)