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A074964 Numbers n such that Max ( sigma(x*y) : 1<=x<=n, 1<=y<=n ) = sigma(n^2). 4
1, 2, 3, 4, 6, 8, 12, 18, 24, 60 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Sequence is probably finite.

The next term in the sequence, if it exists, is larger than 40000. - Stewart Gordon, Sep 27 2011

Conjecture: subsequence of A066522, implying finiteness. [Reinhard Zumkeller, Nov 14 2011]

FORMULA

A074963(a(n)) = A065764(a(n)). [Reinhard Zumkeller, Nov 14 2011]

MAPLE

with(numtheory): s := proc(n) option remember: return sigma(n): end: a:= proc(n) option remember: if(n=0)then return 0: fi: return max(a(n-1), seq(s(x*n), x=1..n)): end: for n from 1 to 100 do if(a(n)=s(n^2))then printf("%d, ", n): end: od: # Nathaniel Johnston, Sep 26 2011

PROG

(Haskell)

a074964 n = a074964_list !! (n-1)

a074964_list = filter (\x -> a074963 x == a065764 x) [1..]

-- Reinhard Zumkeller, Nov 14 2011

CROSSREFS

Cf. A000203.

Sequence in context: A001461 A173383 A048597 * A017822 A179042 A156082

Adjacent sequences:  A074961 A074962 A074963 * A074965 A074966 A074967

KEYWORD

more,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 05 2002

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Last modified February 17 03:29 EST 2012. Contains 205978 sequences.