A130662 1/512 the number of permutations of 0..n with exactly 6 maxima.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 691, 43688, 1553322, 41048184, 900113808, 17353890816, 304617949952, 4981087243264, 77092396405248, 1142386254729216, 16347546554540544, 227391442095863808, 3090231533090021376, 41195837323058675712, 540459023153920671744

Offset: 0

Author

R. H. Hardin, Aug 11 2007

Keywords

• nonn

Comments

a(n) = A179709(n+1)/512.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..300

Crossrefs

Cf. A100575.

Formula

G.f.: -x^10* (2090188800*x^10 -5075343360*x^9 [phone]*x^8 -3456747648*x^7 [phone]*x^6 -385459712*x^5 [phone]*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

Extensions

a(20)-a(24) from Alois P. Heinz, Oct 01 2013