%I #9 Jun 21 2018 15:02:09
%S 1,2,1,3,3,4,6,7,9,11,15,17,22,26,32,39,47,55,67,79,93,111,130,152,
%T 178,208,241,281,325,375,433,499,571,657,751,858,980,1116,1268,1442,
%U 1635,1851,2095,2367,2669,3011,3389,3809,4281,4803,5383,6030,6746,7538
%N "EFK" (unordered, size, unlabeled) transform of 2,1,1,1,...
%C Number of partitions of n into distinct parts with two kinds of one. - _Andrew Howroyd_, Jun 21 2018
%H Andrew Howroyd, <a href="/A032303/b032303.txt">Table of n, a(n) for n = 0..1000</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%F G.f.: (1+2*x) * Product_{k=2..infinity} (1+x^k).
%o (PARI) {my(n=60); Vec((1+2*x)*prod(k=2, n, 1+x^k + O(x*x^n)))} \\ _Andrew Howroyd_, Jun 21 2018
%Y Cf. A032006.
%K nonn
%O 0,2
%A _Christian G. Bower_
%E a(0)=1 prepended and terms a(50) and beyond from _Andrew Howroyd_, Jun 21 2018