[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).


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