[seqfan] Closed-form g.f. for A000005 (the number of divisors of n)

[Vladimir Reshetnikov]

It seems to be missing on the sequence page:

sum(A000005(n) q^n, n=1..inf) = (ln(1-x) + psi_q(1)) / ln(x)

where psi_q(z) is the q-digamma
function<http://mathworld.wolfram.com/q-PolygammaFunction.html>
.

--
Thanks
Vladimir Reshetnikov