A159713 Number of permutations of 1..n arranged in a circle with exactly 5 local maxima.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79360, 3891712, 108736512, 2283154432, 40155709440, 625974681600, 8946380963840, 119830778347520, 1527173964103680, 18720292422287360, 222492157815029760, 2579416038567051264, 29306002590306140160, 327494389862875791360

Offset

0,11

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Formula

G.f.: -512*(232243200*x^11 -1275402240*x^10 +2252081664*x^9 -2074564992*x^8 +1174193888*x^7 -439150208*x^6 +112057808*x^5 -19636984*x^4 +2325314*x^3 -177676*x^2 +7899*x -155)*x^10 / ((10*x-1)^2 *(8*x-1)^3 *(6*x-1)^4 *(4*x-1)^5 *(2*x-1)^6). - Alois P. Heinz, Oct 26 2015

Prog

(PARI) concat(vector(10), Vec(-512*(232243200*x^11 -1275402240*x^10 +2252081664*x^9 -2074564992*x^8 +1174193888*x^7 -439150208*x^6 +112057808*x^5 -19636984*x^4 +2325314*x^3 -177676*x^2 +7899*x -155)*x^10 / ((10*x-1)^2 *(8*x-1)^3 *(6*x-1)^4 *(4*x-1)^5 *(2*x-1)^6) + O(x^100))) \\ Altug Alkan, Oct 26 2015

Crossrefs

Column k=5 of A263789.

Sequence in context: A204570 A183640 A157661 * A251208 A103873 A252292

Adjacent sequences: A159710 A159711 A159712 * A159714 A159715 A159716

Keyword

nonn,easy

Author

R. H. Hardin, Apr 20 2009

Extensions

a(16)-a(23) from Alois P. Heinz, Oct 26 2015

Status

approved