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Search: id:A035321
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| A035321 |
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Sum of composite divisors of n that are not primes nor prime powers. |
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+0
4
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| 0, 0, 0, 0, 0, 6, 0, 0, 0, 10, 0, 18, 0, 14, 15, 0, 0, 24, 0, 30, 21, 22, 0, 42, 0, 26, 0, 42, 0, 61, 0, 0, 33, 34, 35, 72, 0, 38, 39, 70, 0, 83, 0, 66, 60, 46, 0, 90, 0, 60, 51, 78, 0, 78, 55, 98, 57, 58, 0, 153, 0, 62, 84, 0, 65, 127, 0, 102, 69, 129, 0, 168, 0, 74, 90, 114, 77
(list; graph; listen)
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OFFSET
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1,6
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MAPLE
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pp := array(1..100); for i from 1 to 100 do pp[i] := 0; od: for i from 1 to 25 do for j from 1 to 6 do t1 := ithprime(i)^j; if t1<100 then pp[t1] := 1; fi; od: od: pp[1] := 1; A035321 := proc(n) local i, d, t1, t2; t1 := 0; for d from 1 to n do if n mod d = 0 and pp[d] = 0 then t1 := t1+d; fi; od; t1; end;
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MATHEMATICA
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Array[ Plus @@ (Select[ Divisors[ # ], (Length[ FactorInteger[ # ] ]>1)& ])&, 80 ]
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CROSSREFS
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Cf. A000203, A035322, A023891, A060278.
Sequence in context: A087255 A097606 A074591 this_sequence A028720 A028663 A028716
Adjacent sequences: A035318 A035319 A035320 this_sequence A035322 A035323 A035324
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Description corrected by Jack Brennen (jb(AT)brennen.net), Mar 28 2001
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