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

%I

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,929569,102473312,6179518784,270387409408,

%T 9612347580288,294906281038848,8102569802280960,204349178312171520,

%U 4814058618713806080,107303318912687001600,2285117810799260737536,46847474535385018662912

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

%H Alois P. Heinz, <a href="/A130672/b130672.txt">Table of n, a(n) for n = 0..300</a>

%F 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 +148747438841728*x^5 -7477026915152*x^4 +280088417440*x^3 -7353576584*x^2 +120623248*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

%Y Cf. A100575.

%K nonn

%O 0,15

%A _R. H. Hardin_, Aug 11 2007

%E a(21)-a(25) from _Alois P. Heinz_, Oct 01 2013

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Last modified December 5 12:42 EST 2022. Contains 358586 sequences. (Running on oeis4.)