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%I #23 Aug 10 2019 23:34:43
%S 0,7936,353792,9061376,175627264,2868264960,41731645440,559148810240,
%T 7048869314560,84842998005760,985278548541440,11124607890751488,
%U 122829335169859584,1332091026832097280,14238886515777208320,150420440721496473600,1573853022795658690560
%N Number of permutations of 1..n having exactly 5 maxima.
%C Number of permutations of length n with exactly four valleys.
%H Désiré André, <a href="https://doi.org/10.24033/bsmf.519">Mémoire sur les séquences des permutations circulaires</a>, Bulletin de la S. M. F., tome 23 (1895), pp. 122-184.
%H R. G. Rieper and M. Zeleke, <a href="https://arxiv.org/abs/math/0005180">Valleyless Sequences</a>, arXiv:math/0005180 [math.CO], 2000.
%F G.f.: 256*x^9*(31 - 788*x + 8096*x^2 - 43132*x^3 + 126072*x^4 - 192672*x^5 + 120960*x^6)/ ((1-2*x)^5*(1-4*x)^4*(1-6*x)^3*(1-8*x)^2*(1-10*x)). - _Ray Chandler_, Dec 06 2011
%Y Cf. A000079, A000431, A000487, A000517, A130661.
%Y Column k=4 of A008303.
%K nonn
%O 8,2
%A _R. H. Hardin_, Jul 25 2010
%E More terms from _Ray Chandler_, Dec 06 2011
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