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A095402 Sum of digits of all distinct prime factors of n. 12
0, 2, 3, 2, 5, 5, 7, 2, 3, 7, 2, 5, 4, 9, 8, 2, 8, 5, 10, 7, 10, 4, 5, 5, 5, 6, 3, 9, 11, 10, 4, 2, 5, 10, 12, 5, 10, 12, 7, 7, 5, 12, 7, 4, 8, 7, 11, 5, 7, 7, 11, 6, 8, 5, 7, 9, 13, 13, 14, 10, 7, 6, 10, 2, 9, 7, 13, 10, 8, 14, 8, 5, 10, 12, 8, 12, 9, 9, 16, 7, 3, 7, 11, 12, 13, 9, 14, 4, 17, 10 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

EXAMPLE

n=1000: prime set={2,5}, a[1000]=7;

n=:255255: prime set={3,5,7,11,13,17}, a[255255]=3+5+7+2+4+8=29.

MATHEMATICA

ffi[x_] :=Flatten[FactorInteger[x]] lf[x_] :=Length[FactorInteger[x]] ba[x_] :=Table[Part[ffi[x], 2*j-1], {j, 1, lf[x]}] sd[x_] :=Apply[Plus, IntegerDigits[x]] tdp[x_] :=Flatten[Table[IntegerDigits[Part[ba[x], j]], {j, 1, lf[x]}], 1] sdp[x_] :=Apply[Plus, tdp[x]] Table[sdp[w], {w, 1, 150}]

Table[Total[Flatten[IntegerDigits[First/@FactorInteger[n]]]], {n, 1, 100}] (Zak Seidov)

CROSSREFS

Cf. A007953, A051351.

Sequence in context: A035361 A137851 A141346 * A086294 A075860 A008472

Adjacent sequences:  A095399 A095400 A095401 * A095403 A095404 A095405

KEYWORD

nonn,base

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jun 21 2004

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.