A074373 Square of the sum of the prime factors of n (with repetition).
0, 4, 9, 16, 25, 25, 49, 36, 36, 49, 121, 49, 169, 81, 64, 64, 289, 64, 361, 81, 100, 169, 529, 81, 100, 225, 81, 121, 841, 100, 961, 100, 196, 361, 144, 100, 1369, 441, 256, 121, 1681, 144, 1849, 225, 121, 625, 2209, 121, 196, 144, 400, 289, 2809, 121, 256
Offset: 1
Examples
a(12)=49 because 12=2*2*3, 2+2+3=7 and 7^2 = 49.
Links
- Harvey P. Dale, Table of n, a(n) for n = 1..1000
- Neville Holmes, Integer Sequence Combinations
Crossrefs
Equals A001414^2.
Programs
-
Mathematica
sspf[n_]:=Total[Flatten[Table[#[[1]],{#[[2]]}]&/@FactorInteger[ n]]]^2; Join[{0},Array[sspf,60,2]] (* Harvey P. Dale, Sep 24 2012 *)