A159714 Number of permutations of 1..n arranged in a circle with exactly 6 local maxima.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4245504, 290787328, 11134212096, 315250053120, 7373732315136, 151048265662464, 2807359026757632, 48456016702472192, 789426139189739520, 12282937010848530432, 184138764390344687616, 2677761622120892203008

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