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A130651
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1/16 the number of permutations of 0..n having exactly 3 maxima.
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1
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0, 0, 0, 0, 1, 17, 180, 1536, 11616, 81552, 545536, 3532544, 22368000, 139434240, 859634688, 5258379264, 31986270208, 193796182016, 1170829049856, 7059331547136
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OFFSET
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0,6
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LINKS
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FORMULA
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Conjecture: a(n) = 2^(n-8)*(3^(n+1) - 2^(n+2)*n + 2*n^2 - 3). - Vaclav Kotesovec, Nov 29 2012
Empirical g.f.: -x^4*(3*x-1) / ((2*x-1)^3*(4*x-1)^2*(6*x-1)). - Colin Barker, Dec 06 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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