%I A002070 M0072 N0024
%S A002070 2,1,1,2,1,4,2,0,1,0,7,3,8,6,8,6,5,12,7,3,4,10,6,15,7,2,16,18,10,
%T A002070 9,8,18,7,10,10,2,7,4,12,6,15,7,17,4,2,0,12,19,18,15,24,30,8,23,
%U A002070 2,14,10,28,2,18,4,24,8,12,1,13,7,22,28,30,21,20,17,26,5,1,15,2
%V A002070 -2,-1,1,-2,1,4,-2,0,-1,0,7,3,-8,-6,8,-6,5,12,-7,-3,4,-10,-6,15,-7,2,-16,
               18,10,
%W A002070 9,8,-18,-7,10,-10,2,-7,4,-12,-6,-15,7,17,4,-2,0,12,19,18,15,24,-30,-8,
               -23,
%X A002070 -2,14,10,-28,-2,-18,4,24,8,12,-1,13,7,-22,28,30,-21,-20,-17,-26,-5,-1,
               -15,-2
%N A002070 Coefficient of x^p (p = n-th prime) in x * Product_{k=1..inf} (1-x^k)^2*(1-x^11k)^2.
%C A002070 Form the infinite product x*[(1-x)*(1-x^11)*(1-x^2)*(1-x^22)*(1-x^3)*(1-x^33)*(1-x^4)*(1-x^44)*...]^2 
               and take the coefficients of x^2, x^3, x^5, x^7, x^11, x^13, x^17, 
               x^19, ...
%D A002070 Shimura, Goro; A reciprocity law in non-solvable extensions. J. Reine 
               Angew. Math. 221 1966 209-220.
%D A002070 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002070 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002070 N. J. A. Sloane, <a href="b002070.txt">Table of n, a(n) for n = 1..1229</
               a>
%Y A002070 Cf. A006571 (all coefficients).
%Y A002070 Sequence in context: A165585 A082506 A053000 this_sequence A106052 A050473 
               A057593
%Y A002070 Adjacent sequences: A002067 A002068 A002069 this_sequence A002071 A002072 
               A002073
%K A002070 sign,easy,nice
%O A002070 1,1
%A A002070 N. J. A. Sloane (njas(AT)research.att.com).