OFFSET
2,2
LINKS
Paolo P. Lava, Table of n, a(n) for n = 2..10000
Paolo P. Lava, Plot of the first 10000 terms of the sequence
EXAMPLE
For n=83 the maximum product is reached when 35 and 48 (35+48=83) are considered: sigma(35)*sigma(48) = 48*124 = 5952.
For n=99 the maximum product is reached when 36 and 63 (36+63=99) are considered: sigma(36)*sigma(63) = 91*104 = 9464.
MAPLE
MATHEMATICA
a[n_] := Max[Times @@ DivisorSigma[1, #]& /@ IntegerPartitions[n, {2}]]; Table[a[n], {n, 2, 100}] (* Jean-François Alcover, Dec 26 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Paolo P. Lava, Apr 05 2012
STATUS
approved