A263751 Number of length n arrays of permutations of 0..n-1 with each element moved by -7 to 7 places and every three consecutive elements having its maximum within 5 of its minimum

1, 2, 6, 24, 120, 720, 2400, 5424, 7872, 13426, 32600, 93648, 264004, 715068, 1827984, 4478968, 10877260, 27046668, 68563740, 175638421, 449813745, 1144182205, 2889559249, 7280740314, 18358582526, 46400942072, 117521209250, 297858254334

Offset

1,2

Comments

Column 7 of A263752

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

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>78

Example

Some solutions for n=10
..1....0....3....0....1....2....3....1....0....1....0....1....1....2....2....1
..4....2....0....1....0....1....0....0....3....0....1....0....3....0....0....0
..0....1....2....2....3....0....1....3....1....5....3....5....0....1....1....4
..5....3....5....3....2....3....5....5....2....3....4....2....4....3....3....5
..2....4....1....5....4....5....2....6....6....2....2....4....2....5....6....9
..3....7....4....4....6....4....7....2....4....6....6....3....5....6....7....8
..6....5....6....8....5....6....4....4....8....7....5....6....7....7....5....7
..8....8....9....7....7....8....8....7....9....8....8....7....6....4....8....3
..9....6....8....6....8....9....9....9....7....4....7....9....8....8....4....2
..7....9....7....9....9....7....6....8....5....9....9....8....9....9....9....6

Crossrefs

Cf. A263752

Sequence in context: A329498 A000805 A263750 * A263745 A276840 A364426

Adjacent sequences: A263748 A263749 A263750 * A263752 A263753 A263754

Keyword

nonn

Author

R. H. Hardin, Oct 25 2015

Status

approved