%I #15 May 31 2019 11:28:24
%S 1,3,8,17,34,62,109,182,296,466,719,1084,1609,2347,3380,4802,6750,
%T 9384,12929,17650,23909,32136,42903,56893,74998,98284,128121,166149,
%U 214446,275499,352425,448949,569695,720182,907201,1138844,1424996,1777409,2210346,2740729
%N Euler transform of 3 2 1 1 1 1 1 1...
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F a(n) ~ exp(Pi*sqrt(2*n/3)) * 3*sqrt(n) / (2*sqrt(2)*Pi^3). - _Vaclav Kotesovec_, May 31 2019
%t nmax = 50; CoefficientList[Series[1/((1-x)^2*(1-x^2))*Product[1/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, May 31 2019 *)
%Y First differences are in A000097.
%Y Cf. A029860, A029861.
%K nonn
%O 0,2
%A _N. J. A. Sloane_.
%E a(0) = 1 prepended by _Vaclav Kotesovec_, May 31 2019
%E More terms from _Vaclav Kotesovec_, May 31 2019