%I A109142
%S A109142 1,0,0,0,153,1020,4284,6120,196146,2652864,19986084,90202680,85692546,
               6608267064,
%T A109142 76663736316,545345198712,2029226503266,9086615598096,245241505186236,
               2527595927294760,
%U A109142 16280108470658466,42945349007834280,518834893753561140,9490863671561772360
%V A109142 1,0,0,0,153,1020,4284,6120,-196146,-2652864,-19986084,-90202680,85692546,
               6608267064,
%W A109142 76663736316,545345198712,2029226503266,-9086615598096,-245241505186236,
               -2527595927294760,
%X A109142 -16280108470658466,-42945349007834280,518834893753561140,9490863671561772360
%N A109142 G.f.: 18-th root of Hamming weight enumerator of [18,9,8] code over GF(4) 
               (cf. A014487).
%H A109142 N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/
               abs/math.NT/0509316">On the Integrality of n-th Roots of Generating 
               Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
%Y A109142 Sequence in context: A046197 A056733 A050209 this_sequence A014576 A087414 
               A073938
%Y A109142 Adjacent sequences: A109139 A109140 A109141 this_sequence A109143 A109144 
               A109145
%K A109142 sign
%O A109142 0,5
%A A109142 N. J. A. Sloane (njas(AT)research.att.com) and Nadia Heninger (nadiah(AT)cs.princeton.edu), 
               Aug 18 2005