A250137 - OEIS

%I #4 Nov 13 2014 10:11:05

%S 216,986,4368,19446,79200,311498,1219944,4617079,17036428,62297886,

%T 224152970,793463094,2782588100,9662944274,33203799944,113195928313,

%U 383180556700,1287749650878,4300782679270,14285051453226,47196108008844

%N Number of length n+2 0..5 arrays with the medians of every three consecutive terms nondecreasing

%C Column 5 of A250140

%H R. H. Hardin, <a href="/A250137/b250137.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -15*a(n-2) +90*a(n-3) -345*a(n-4) +626*a(n-5) -2672*a(n-6) +7542*a(n-7) -9364*a(n-8) +39880*a(n-9) -80843*a(n-10) +55688*a(n-11) -359451*a(n-12) +414422*a(n-13) -27827*a(n-14) +2167310*a(n-15) -323498*a(n-16) -838688*a(n-17) -8847573*a(n-18) -7284516*a(n-19) +188080*a(n-20) +21990816*a(n-21) +37266852*a(n-22) +19854080*a(n-23) -25109056*a(n-24) -77719328*a(n-25) -71695312*a(n-26) -8159616*a(n-27) +70525056*a(n-28) +97325568*a(n-29) +48155904*a(n-30) -15482880*a(n-31) -46172160*a(n-32) -33177600*a(n-33) -8294400*a(n-34)

%e Some solutions for n=5

%e ..1....5....3....5....0....5....0....3....0....1....0....0....4....0....2....0

%e ..2....3....0....0....0....3....3....2....1....1....4....1....3....5....0....4

%e ..1....1....0....2....1....3....3....2....2....4....1....1....3....4....2....0

%e ..1....3....0....2....0....3....1....2....1....0....4....1....3....1....4....3

%e ..2....3....3....2....5....3....3....3....5....1....4....4....4....5....1....3

%e ..3....5....2....2....4....2....5....5....3....2....1....1....5....4....4....4

%e ..3....4....3....0....3....5....4....1....4....3....4....5....2....3....5....5

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2014