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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..220
Crossrefs
Cf. A263752
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
Comments