%I #3 Mar 30 2012 18:36:49
%S 1,5,30,155,855,4305,23255,116705,614655,3108355,16168430,81136755,
%T 422279580,2116775030,10893334980,54857686305,281413208380,
%U 1410806289330,7237582729155,36262232611605,185184341144805
%N G.f.: A(x) = Product_{n>=1} 1/(1 - 5^n*x^n)^(5/5^n).
%e A(x) = 1 + 5*x + 30*x^2 + 155*x^3 + 855*x^4 + 4305*x^5 +... =
%e 1/[(1-5*x)*(1-25*x^2)^(1/5)*(1-125*x^3)^(1/25)*(1-625*x^4)^(1/125)*...]
%o (PARI) a(n)=polcoeff(prod(k=1,n,1/(1-5^k*x^k+x*O(x^n))^(5/5^k)),n)
%Y Cf. A110152, A110153, A110154, A110156.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Jul 14 2005