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A159713 Number of permutations of 1..n arranged in a circle with exactly 5 local maxima. 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79360, 3891712, 108736512, 2283154432, 40155709440, 625974681600, 8946380963840, 119830778347520, 1527173964103680, 18720292422287360, 222492157815029760, 2579416038567051264, 29306002590306140160, 327494389862875791360 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 10:26 EST 2022. Contains 358656 sequences. (Running on oeis4.)