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A095402 Sum of digits of all distinct prime factors of n. +0
11
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; listen)
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 this_sequence A086294 A075860 A008472

Adjacent sequences: A095399 A095400 A095401 this_sequence A095403 A095404 A095405

KEYWORD

nonn,base

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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