A179709 Number of permutations of 1..n having exactly 6 maxima.

0, 353792, 22368256, 795300864, 21016670208, 460858269696, 8885192097792, 155964390375424, 2550316668551168, 39471306959486976, 584901762421358592, 8369943835924758528, 116424418353082269696, 1582198544942090944512, 21092268709406041964544

Offset

10,2

Comments

a(n) = A130662(n-1)*512.

Links

Alois P. Heinz, Table of n, a(n) for n = 10..300

Formula

G.f.: -512*x^11* (2090188800*x^10 -5075343360*x^9 +5480510976*x^8 -3456747648*x^7 +1407037152*x^6 -385459712*x^5 +71872912*x^4 -8997896*x^3 +723346*x^2 -33704*x+691) / ((12*x-1) *(10*x-1)^2 *(8*x-1)^3 *(6*x-1)^4 *(4*x-1)^5 *(2*x-1)^6). - Alois P. Heinz, Oct 01 2013

Crossrefs

Column k=5 of A008303.

Sequence in context: A274900 A284081 A050515 * A186217 A237411 A235980

Adjacent sequences: A179706 A179707 A179708 * A179710 A179711 A179712

Keyword

nonn

Author

R. H. Hardin, Jul 25 2010

Extensions

a(17)-a(24) from Alois P. Heinz, Oct 01 2013

Status

approved