login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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
OFFSET
0,13
LINKS
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
KEYWORD
nonn,easy
AUTHOR
R. H. Hardin, Apr 20 2009
EXTENSIONS
a(17)-a(23) from Alois P. Heinz, Oct 26 2015
STATUS
approved