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A263749
Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and every three consecutive elements having its maximum within 5 of its minimum
1
1, 2, 6, 24, 120, 720, 1560, 2352, 4704, 10946, 28655, 83622, 230716, 604056, 1498904, 3627824, 8885872, 22445448, 57373588, 147086040, 375553984, 951141040, 2395384168, 6035991620, 15241258584, 38573288432, 97763641880, 247758889696
OFFSET
1,2
COMMENTS
Column 5 of A263752
LINKS
FORMULA
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
EXAMPLE
Some solutions for n=10
..0....0....0....0....0....4....0....0....3....2....2....1....5....3....0....2
..1....2....2....5....4....1....1....1....0....6....0....0....0....0....3....0
..2....1....3....1....2....0....2....2....1....3....1....5....3....1....1....1
..3....3....1....6....3....2....5....3....2....1....3....2....1....2....2....3
..6....4....6....2....1....3....3....4....5....0....6....3....6....6....5....4
..8....7....5....3....5....5....6....8....4....5....5....6....2....4....4....7
..5....5....7....7....6....7....8....6....9....4....7....7....7....5....6....8
..9....8....4....4....8....8....7....5....8....7....4....9....4....8....7....6
..4....9....8....8....7....9....9....7....6....8....9....8....9....7....9....9
..7....6....9....9....9....6....4....9....7....9....8....4....8....9....8....5
CROSSREFS
Sequence in context: A319546 A232983 A319207 * A329498 A000805 A263750
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 25 2015
STATUS
approved