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A045965 a(1)=2; if n = Product p_i^e_i, n>1, then a(n) = Product p_{i+1}^e_i. 4
2, 3, 5, 9, 7, 15, 11, 27, 25, 21, 13, 45, 17, 33, 35, 81, 19, 75, 23, 63, 55, 39, 29, 135, 49, 51, 125, 99, 31, 105, 37, 243, 65, 57, 77, 225, 41, 69, 85, 189, 43, 165, 47, 117, 175, 87, 53, 405, 121, 147, 95, 153, 59, 375, 91, 297, 115, 93, 61, 315, 67, 111, 275, 729, 119 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

From a puzzle proposed by Marc LeBrun (mlb(AT)well.com).

MAPLE

succfactorization := proc(n) local p, d; if(1 = n) then RETURN(2); fi; p := 1; for d in ifactors(n)[ 2 ] do p := p * (nextprime(d[ 1 ])^d[ 2 ]); od; RETURN(p); end;

CROSSREFS

Cf. A048673. Essentially identical to A003961.

Sequence in context: A011026 A069805 A123923 * A100674 A058314 A072735

Adjacent sequences:  A045962 A045963 A045964 * A045966 A045967 A045968

KEYWORD

easy,nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net).

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.