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A113948 Number of non-equivalent (2n+1)-fold branched coverings of the Klein bottle with one cyclic branch point. 2

%I #3 Mar 30 2012 18:53:07

%S 1,5,44,1266,72636,6652810,889574412,163459302788,39520825344016,

%T 12164510040883218,4644631106520877974,2154334728240414720022,

%U 1193170003333152768100020,777776389315596583864343748

%N Number of non-equivalent (2n+1)-fold branched coverings of the Klein bottle with one cyclic branch point.

%C No such covering of even multiplicity exists.

%D J. H. Kwak, A. Mednykh and V. Liskovets, Enumeration of branched coverings of nonorientable surfaces with cyclic branch points, SIAM J. Discrete Math., Vol. 19, No. 2 (2005), 388-398.

%F a(n)=2*sum_{k|(2n+1)}k!*((2n+1)/k)^(k-1)*phi((2n+1)/k)/(k+1) where phi(n) is the Euler function A000010.

%Y Cf. A113947, A113950.

%K nonn

%O 0,2

%A _Valery A. Liskovets_, Nov 10 2005

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)