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%I #4 Oct 25 2015 11:18:53
%S 1,2,6,24,78,230,506,1128,2641,6655,17261,46066,119052,300864,750728,
%T 1876024,4711588,11951068,30392680,77225565,195701321,494881594,
%U 1249924470,3159185418,7992133318,20232067074,51226594151,129680774266
%N Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and every three consecutive elements having its maximum within 5 of its minimum
%C Column 3 of A263752
%H R. H. Hardin, <a href="/A263747/b263747.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) -3*a(n-5) +45*a(n-6) +32*a(n-7) +10*a(n-8) -40*a(n-9) -88*a(n-10) -147*a(n-11) -225*a(n-12) -180*a(n-13) -374*a(n-14) +266*a(n-15) +1041*a(n-16) +a(n-17) -198*a(n-18) +772*a(n-19) +1107*a(n-20) -901*a(n-21) -678*a(n-22) -392*a(n-23) -950*a(n-24) +135*a(n-25) +103*a(n-26) +1482*a(n-27) -1130*a(n-28) +278*a(n-29) +1712*a(n-30) -53*a(n-31) +133*a(n-32) +342*a(n-33) -628*a(n-34) -532*a(n-35) +1275*a(n-36) -891*a(n-37) -940*a(n-38) -422*a(n-39) +14*a(n-40) -52*a(n-41) -690*a(n-42) -38*a(n-43) +618*a(n-44) +328*a(n-45) +220*a(n-46) +200*a(n-47) -74*a(n-48) +250*a(n-49) -78*a(n-50) -128*a(n-51) -104*a(n-52) -152*a(n-53) +30*a(n-54) +20*a(n-55) -40*a(n-56) +30*a(n-57) +8*a(n-58) +2*a(n-59) +26*a(n-60) -4*a(n-61) -8*a(n-62)
%e Some solutions for n=10
%e ..0....0....1....2....0....0....0....1....1....3....2....0....2....3....2....2
%e ..2....4....4....1....1....2....1....0....0....0....1....2....4....0....3....0
%e ..1....1....0....3....5....4....3....2....5....1....0....5....3....1....1....1
%e ..4....5....3....0....2....3....2....3....3....2....3....6....0....2....0....5
%e ..5....3....2....4....3....1....4....7....4....4....4....1....1....5....5....6
%e ..3....2....6....5....4....6....7....4....2....5....8....4....5....4....4....3
%e ..8....6....5....7....8....5....9....9....7....9....9....3....6....9....9....4
%e ..6....7....8....9....9....7....8....8....6....7....5....8....8....8....7....7
%e ..9....8....7....8....7....8....5....5....9....6....7....7....7....7....6....8
%e ..7....9....9....6....6....9....6....6....8....8....6....9....9....6....8....9
%Y Cf. A263752
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 25 2015
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