A267004 Expansion of Product_{k>=1} ((1 + k*x^k) / (1 - x^k)).

1, 2, 5, 12, 24, 50, 97, 184, 331, 606, 1061, 1834, 3125, 5228, 8673, 14250, 23034, 36894, 58750, 92298, 144398, 223994, 344916, 527116, 801295, 1209870, 1816539, 2713956, 4033169, 5961700, 8775236, 12852444, 18742153, 27225316, 39371647, 56743200, 81467211

Offset: 0

Author

Vaclav Kotesovec, Jan 08 2016

Keywords

• nonn

Comments

Convolution of A022629 and A000041.

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000041, A022629, A267005, A267007.

Programs

Mathematica

nmax = 50; CoefficientList[Series[Product[(1+k*x^k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]