cp's OEIS Frontend

A189596 Number of permutations of 1..n with displacements restricted to {-6,-5,-4,-2,-1,0,3}.

%I A189596 #7 Jun 02 2025 04:03:36
%S A189596 1,1,1,4,10,22,63,168,398,864,1998,4814,11515,27219,64834,155776,
%T A189596 370324,875660,2075443,4937760,11743610,27890804,66275841,157582669,
%U A189596 374562749,889810081,2114058291,5024124329,11940009567,28372771969,67421703499
%N A189596 Number of permutations of 1..n with displacements restricted to {-6,-5,-4,-2,-1,0,3}.
%H A189596 R. H. Hardin, <a href="/A189596/b189596.txt">Table of n, a(n) for n = 1..200</a>
%F A189596 Empirical: a(n) = a(n-1) +2*a(n-3) +6*a(n-4) +5*a(n-5) +6*a(n-6) +31*a(n-7) +48*a(n-8) +64*a(n-9) -8*a(n-10) +9*a(n-11) -6*a(n-12) -140*a(n-13) +76*a(n-14) -309*a(n-15) -184*a(n-16) -474*a(n-17) -92*a(n-18) -168*a(n-19) -360*a(n-20) +565*a(n-21) -71*a(n-22) +545*a(n-23) -224*a(n-24) +273*a(n-25) +559*a(n-26) +1211*a(n-27) +236*a(n-28) +1337*a(n-29) -2257*a(n-30) +1533*a(n-31) +739*a(n-32) +1971*a(n-33) -1829*a(n-34) -1102*a(n-35) -1009*a(n-36) -45*a(n-37) +1818*a(n-38) +184*a(n-39) -1648*a(n-40) -873*a(n-41) -1747*a(n-42) +1252*a(n-43) -1431*a(n-44) -1514*a(n-45) -584*a(n-46) -186*a(n-47) +1069*a(n-48) +1390*a(n-49) +1503*a(n-50) +80*a(n-51) +597*a(n-52) +431*a(n-53) -469*a(n-54) -259*a(n-55) -347*a(n-56) -364*a(n-57) +189*a(n-58) -190*a(n-59) -62*a(n-60) +25*a(n-61) +191*a(n-62) +66*a(n-63) +44*a(n-64) +4*a(n-65) -87*a(n-66) -79*a(n-67) +57*a(n-68) -7*a(n-69) +15*a(n-70) -24*a(n-71) -3*a(n-72) -10*a(n-73) +8*a(n-74) +9*a(n-75) +8*a(n-76) -6*a(n-77) -a(n-79) +a(n-80) -a(n-81) +a(n-82) -a(n-84)
%e A189596 Some solutions for n=10
%e A189596 ..1....1....1....1....1....3....7....3....1....1....2....3....1....7....2....1
%e A189596 ..8....6....2....7....2....4....3....2....8....7....3....2....2....6....7....6
%e A189596 ..9....4....3....4....3....8....9....7....3....8....5....5....8....8....8....7
%e A189596 ..5....8....4....8....8....1....1....1....9....4....1....1....6....1....1....8
%e A189596 ..2....2....7....2....9....2....2....9....2....2...10....7....5....2....5....2
%e A189596 ..3....3....8....3...10....7....8....8....7....3....8....8....3....3....3....3
%e A189596 ..4....9....9....9....4....9....4....4....4....9....4....4....4....4....4....4
%e A189596 .10....5....5....5....5....5....5....5....5....5....9....9....9....5....9....5
%e A189596 ..6...10....6....6....6....6....6....6....6....6....6....6...10....9....6....9
%e A189596 ..7....7...10...10....7...10...10...10...10...10....7...10....7...10...10...10
%K A189596 nonn
%O A189596 1,4
%A A189596 _R. H. Hardin_ Apr 24 2011