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A159714 Number of permutations of 1..n arranged in a circle with exactly 6 local maxima. 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4245504, 290787328, 11134212096, 315250053120, 7373732315136, 151048265662464, 2807359026757632, 48456016702472192, 789426139189739520, 12282937010848530432, 184138764390344687616, 2677761622120892203008 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,13

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..930

FORMULA

G.f.: -2048*(24078974976000*x^16 -163737029836800*x^15 +392749501317120*x^14 -517950785912832*x^13 +442017305468928*x^12 -264568164065280*x^11 +116194714660608*x^10 -38443271058176*x^9 +9722233013888*x^8 -1890674565824*x^7 +282315254112*x^6 -32071886064*x^5 +2720304072*x^4 -166678732*x^3 +6962515*x^2 -177256*x +2073)*x^12 / ((12*x-1)^2 *(10*x-1)^3 *(8*x-1)^4 *(6*x-1)^5 *(4*x-1)^6 *(2*x-1)^7). - Alois P. Heinz, Oct 26 2015

PROG

(PARI) concat(vector(12), Vec(-2048*(24078974976000*x^16 -163737029836800*x^15 +392749501317120*x^14 -517950785912832*x^13 +442017305468928*x^12 -264568164065280*x^11 +116194714660608*x^10 -38443271058176*x^9 +9722233013888*x^8 -1890674565824*x^7 +282315254112*x^6 -32071886064*x^5 +2720304072*x^4 -166678732*x^3 +6962515*x^2 -177256*x +2073)*x^12 / ((12*x-1)^2 *(10*x-1)^3 *(8*x-1)^4 *(6*x-1)^5 *(4*x-1)^6 *(2*x-1)^7) + O(x^100))) \\ Altug Alkan, Oct 26 2015

CROSSREFS

Column k=6 of A263789.

Sequence in context: A251800 A283033 A209395 * A232351 A210308 A205271

Adjacent sequences:  A159711 A159712 A159713 * A159715 A159716 A159717

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin, Apr 20 2009

EXTENSIONS

a(17)-a(23) from Alois P. Heinz, Oct 26 2015

STATUS

approved

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Last modified October 21 11:34 EDT 2017. Contains 293693 sequences.