A263748 - OEIS

%I #4 Oct 25 2015 11:19:37

%S 1,2,6,24,120,504,930,1794,3852,9246,24613,69414,185540,475520,

%T 1173888,2874864,7141844,18113441,46245953,118174785,300561681,

%U 759840542,1915350786,4833118568,12216213910,30929782130,78368738162,198501078760

%N Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and every three consecutive elements having its maximum within 5 of its minimum

%C Column 4 of A263752

%H R. H. Hardin, <a href="/A263748/b263748.txt">Table of n, a(n) for n = 1..220</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) for n>74

%e Some solutions for n=10

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

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

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

%e ..3....2....2....0....3....2....5....5....3....4....3....6....2....2....2....1

%e ..4....5....5....1....7....4....2....3....6....3....7....3....3....3....3....5

%e ..8....4....4....3....6....5....6....2....8....8....5....5....6....5....4....6

%e ..6....9....6....6....4....8....7....7....4....7....4....8....5....7....6....8

%e ..5....7....9....7....5....6....4....6....9....9....9....7....9....8....9....9

%e ..7....8....7....9....8....9....8....9....5....5....6....4....7....9....7....4

%e ..9....6....8....8....9....7....9....8....7....6....8....9....8....6....8....7

%Y Cf. A263752

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 25 2015