OFFSET
1,1
COMMENTS
a(4) ~ 4.799...*10^95, a(5) ~ 1.849...*10^6444, a(6) ~ 1.852...*10^103237. - Amiram Eldar, Mar 16 2019
a(4) has 96 digits and a(5) has 6445 digits. - Harvey P. Dale, Jan 17 2022
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..4
EXAMPLE
MATHEMATICA
mers[n_] := 2^(n-1)*(2^n-1); a[n_] := PartitionsP[mers[MersennePrimeExponent[n]]]; a/@Range[4] (* Amiram Eldar, Mar 15 2019, assuming that all the perfect numbers are even *)
PartitionsP[PerfectNumber[Range[5]]] (* Harvey P. Dale, Jan 17 2022 *)
CROSSREFS
KEYWORD
bref,nonn
AUTHOR
Omar E. Pol, Nov 13 2007
STATUS
approved