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 A189586 Number of permutations of 1..n with displacements restricted to {-4,-2,-1,0,3} 1

%I

%S 1,1,1,4,10,20,46,90,185,374,810,1718,3565,7504,15668,32880,68748,

%T 144309,302723,633904,1328936,2784579,5837343,12232245,25638253,

%U 53738027,112620095,236040957,494698039,1036837512,2173041695,4554382398

%N Number of permutations of 1..n with displacements restricted to {-4,-2,-1,0,3}

%H R. H. Hardin, <a href="/A189586/b189586.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = a(n-1) +a(n-3) +3*a(n-4) +5*a(n-5) +2*a(n-6) +22*a(n-7) -6*a(n-8) +8*a(n-9) +2*a(n-10) -8*a(n-11) -22*a(n-12) -7*a(n-13) -58*a(n-14) +8*a(n-15) -19*a(n-16) +a(n-17) +7*a(n-18) +14*a(n-19) +8*a(n-20) +47*a(n-21) -7*a(n-22) +7*a(n-23) -2*a(n-24) +a(n-25) -5*a(n-27) -14*a(n-28) +3*a(n-29) +a(n-32) -a(n-33) +a(n-34) +a(n-35)

%e Some solutions for n=11

%e ..1....3....3....3....1....5....5....5....2....1....2....2....2....3....3....1

%e ..3....2....6....6....2....4....4....3....6....2....6....4....3....6....2....2

%e ..5....4....4....5....7....3....3....4....7....4....4....3....4....4....7....7

%e ..4....1....1....1....5....1....1....1....1....6....1....1....1....1....1....4

%e ..2....6....2....2....9....2....2....2....9....5....5....6....6....2....5....5

%e ..6....7...10...10....3....6....7....7....3....3....3....7....7...10....6....3

%e ..7....8...11....4....4....7....8...11....4....8...11....8....9....8....4....9

%e ..8....5....5....8....8....8....9....9....5....9...10....5....5....5....8...10

%e ..9....9....9....9....6....9....6....6...11...10....9....9...10....9....9....6

%e .10...10....7....7...10...10...10...10...10....7....7...10...11....7...10...11

%e .11...11....8...11...11...11...11....8....8...11....8...11....8...11...11....8

%K nonn

%O 1,4

%A _R. H. Hardin_ Apr 24 2011

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Last modified February 8 08:49 EST 2023. Contains 360138 sequences. (Running on oeis4.)