%I A103259
%S A103259 1,2,4,6,10,14,20,28,40,54,72,96,126,164,212,274,350,444,560,704,878,
%T A103259 1092,1352,1668,2048,2506,3056,3714,4500,5436,6552,7872,9436,11280,
%U A103259 13456,16012,19014,22532,26648,31452
%N A103259 Number of partitions of 2n prime to 3,5 with all odd parts occurring 
               with even multiplicities. There is no restriction on the even parts.
%C A103259 This is also the sequence A103257/(theta_4(0,x^(15)))
%D A103259 Noureddine Chair, Partition Identities From Partial Supersymmetry.
%F A103259 G.f.: (theta_4(0, x^3)*theta_4(0, x^5))/(theta_4(0, x)*theta_4(0, x^(15))).
%e A103259 E.g. a(10)=14 because 10 can be written as 8+2=8+1+1=4+4+2=4+4+1+1=4+2+2+2=
%e A103259 4+2+2+1+1 = 4+2+1+1+1+1 = 4+1+1+1+1+1+1 = 2+2+2+2+2 = 2+2+2+2+1+1 = 2+2+2+1+1+1+1 
               = 2+2+1+1+1+1+1+1 = 2+1+1+1+1+1+1+1+1 = 1+1+1+1+1+1+1+1+1+1.
%p A103259 seies(product((1+x^k)*(1-x^(3*k))*(1-x^(5*k))*(1+x^(15*k)))/(1-x^k)*(1+x^(3*k))*(1+x^(5*k))*(1-x^(15*k))),
               k=1..100),x=0,100);
%Y A103259 Cf. A102346, A103257.
%Y A103259 Sequence in context: A088954 A000123 A103257 this_sequence A082380 A136460 
               A000065
%Y A103259 Adjacent sequences: A103256 A103257 A103258 this_sequence A103260 A103261 
               A103262
%K A103259 nonn
%O A103259 0,2
%A A103259 Noureddine Chair (n.chair(AT)rocketmail.com), Feb 15 2005