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A272340

First differences of 1/p(n), reciprocal of the number p(n) of unrestricted partitions of n (denominator).

1, 2, 6, 15, 35, 77, 165, 330, 165, 105, 168, 616, 7777, 13635, 23760, 3696, 2079, 10395, 5390, 307230, 15048, 132264, 1257510, 395325, 3083850, 2384844, 523740, 2797795, 140270, 25582260, 19171284, 5193078, 1227303, 124860330, 183209730, 267551691, 388968349, 51171505, 14750505

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.1 Abelian group enumeration constants, p. 274.

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..10000

FORMULA

A272339(n) / a(n) = 1/p(n+1) - 1/p(n).

MATHEMATICA

Table[1/PartitionsP[n], {n, 0, 60}] // Differences // Denominator

PROG