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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
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
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
Sequence in context: A329498 A000805 A263750 * A263745 A276840 A364426
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 25 2015
STATUS
approved