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

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Neville Holmes, Integer Sequence Combinations

Example

a(12)=49 because 12=2*2*3, 2+2+3=7 and 7^2 = 49.

Mathematica

sspf[n_]:=Total[Flatten[Table[#[[1]], {#[[2]]}]&/@FactorInteger[ n]]]^2; Join[{0}, Array[sspf, 60, 2]] (* Harvey P. Dale, Sep 24 2012 *)

Crossrefs

Equals A001414^2.

Sequence in context: A017668 A225004 A339857 * A067115 A061077 A292675

Adjacent sequences: A074370 A074371 A074372 * A074374 A074375 A074376

Keyword

easy,nonn

Author

W. Neville Holmes, Aug 28 2002

Status

approved