A130672 1/2048 the number of permutations of 0..n having exactly 8 maxima.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 929569, 102473312, 6179518784, 270387409408, 9612347580288, 294906281038848, 8102569802280960, 204349178312171520, 4814058618713806080, 107303318912687001600, 2285117810799260737536, 46847474535385018662912

Offset: 0

Author

R. H. Hardin, Aug 11 2007

Keywords

• nonn

Links

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

Crossrefs

Cf. A100575.

Formula

G.f.: -x^14*(2221337452121948160000*x^21 -9760477616069935104000*x^20 +20244234430012037529600*x^19 -26335222393830931169280*x^18 +24084924195719381778432*x^17 -16454234575958940057600*x^16 +8711075299942448234496*x^15 -3659533117443725524992*x^14 +1239282839272952659968*x^13 -341804601848828702720*x^12 +77260554496485515264*x^11 -14354015599695689728*x^10 +2191679066071605248*x^9 -274160452802404096*x^8 +27914643037454336*x^7 -2289010376895744*x^6 [phone]*x^5 -7477026915152*x^4 [phone]*x^3 -7353576584*x^2 [phone]*x -929569) / ((16*x-1) *(14*x-1)^2 *(12*x-1)^3 *(10*x-1)^4 *(8*x-1)^5 *(6*x-1)^6 *(4*x-1)^7 *(2*x-1)^8). - Alois P. Heinz, Oct 01 2013

Extensions

a(21)-a(25) from Alois P. Heinz, Oct 01 2013