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, 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

R. H. Hardin, Table of n, a(n) for n = 1..220

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

Cf. A263752

Sequence in context: A319546 A232983 A319207 * A329498 A000805 A263750

Adjacent sequences: A263746 A263747 A263748 * A263750 A263751 A263752

Keyword

nonn

Author

R. H. Hardin, Oct 25 2015

Status

approved