OFFSET
1,8
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..147
EXAMPLE
a(17) counts these 4 partitions: [17], [4,3,3,1,1,1,1,1,1,1], [4,3,2,2,2,2,1,1], [3,3,3,3,2,2,1].
MATHEMATICA
f[x_] := x^(1/3); z = 26; ColumnForm[t = Map[Select[IntegerPartitions[#], IntegerQ[f[Total[#^3]]] &] &, Range[z]] ](* shows the partitions *)
t2 = Map[Length[Select[IntegerPartitions[#], IntegerQ[f[Total[#^2]]] &]] &, Range[40]] (* A240128 *) (* Peter J. C. Moses, Apr 01 2014 *)
PROG
(PARI) a(n)=my(s); forpart(v=n, s+=ispower(sum(i=1, #v, v[i]^3), 3)); s \\ Charles R Greathouse IV, Mar 06 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 02 2014
STATUS
approved