OFFSET
0,4
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
a(n) / A272340(n) = 1/p(n+1) - 1/p(n).
EXAMPLE
Fractions begin: 0, -1/2, -1/6, -2/15, -2/35, -4/77, -4/165, -7/330, ...
MATHEMATICA
-(Table[1/PartitionsP[n], {n, 0, 60}] // Differences) // Numerator
PROG
(PARI) a(n) = -numerator(1/numbpart(n+1) - 1/numbpart(n)); \\ Michel Marcus, Nov 03 2020
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Jean-François Alcover, Apr 26 2016
STATUS
approved