[seqfan] Re: GF for A083710 Number of partitions [...]
N. J. A. Sloane
njas at research.att.com
Mon Jun 8 12:14:14 CEST 2009
Gary Adamson's comment:
%C A083710 Equals left border of triangle A137587 starting (1, 2, 3, 5, 6, 11,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 27 2008
is equivalent to the formula
A083710(n) = Sum_{d|n} p(d-1)
where p(i) = no. of partitions of i.
Hence A083710 has g.f. Sum_{d>=1} p(d-1)*x^d/(1-x^d)
(which is not what Joerg conjectured, however).
Neil
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