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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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Simple/efficient representation of Stirling numbers of the first kind
http://members.lycos.co.uk/sobalian/index.html
OEIS A008275
a(n,k) = s(k,n) = (-1)^(k-n) * S1(k,n) = ( (-1)^(k-n) ) * ( k!/{(n-1)!*2^(k-n)}
) * [ { 1/(k-n)! }k^(k-n-1) - { (1/6)(1/ …