Search: id:A086826
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%I A086826
%S A086826 1,0,1,1,3,4,15
%N A086826 Number of nonsplittable links (prime or composite) with n crossings.
%C A086826 A link L is splittable if we can embed a plane in R^3, disjoint from 
               L, that separates one or more components of L from other components 
               of L. Otherwise L is nonsplittable.
%H A086826 S. R. Finch, <a href="http://algo.inria.fr/bsolve/">Knots, links and 
               tangles</a>
%H A086826 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SplittableLink.html">Splittable Link</a>
%e A086826 a(5)=4 since we have 2 prime knots, as well as the Whitehead link; and 
               the trefoil knot linked with a circle.
%e A086826 a(6)=15 since we have 3 prime knots, as well as 2 composite knots (the 
               square & granny knots); 6 prime links; a chain of four circles simply-intertwined; 
               four circles simply-intertwined in the shape of a "T"; three circles, 
               two doubly-intertwined and two simply-intertwined; and the figure-eight 
               knot linked with a circle.
%Y A086826 Cf. A086771.
%Y A086826 Sequence in context: A006074 A081714 A117718 this_sequence A130409 A157351 
               A071167
%Y A086826 Adjacent sequences: A086823 A086824 A086825 this_sequence A086827 A086828 
               A086829
%K A086826 nonn
%O A086826 0,5
%A A086826 S. R. Finch (Steven.Finch(AT)inria.fr), Aug 07 2003

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