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A129087 Odd doubly abundant numbers (A125639). +0
1
11025, 34155, 38745, 39585, 41895, 75735, 85995, 99225, 118755, 131355, 135135, 193725, 208845, 218025, 237195, 241395, 241605, 245385, 255645, 271215, 272745, 275625, 276885, 279279, 306495, 307125, 323505, 342225, 347985, 364455, 377685 (list; graph; listen)
OFFSET

1,1

COMMENT

This sequence contains the odd members of A125639, which (empirically) accounts for only about 0.08% of them.

FORMULA

Odd numbers k, such that both k and s(k) (A001065) are abundant (A005101)

EXAMPLE

The third odd number which is doubly abundant is 38745. Hence a(3)=38745

MATHEMATICA

s[n_]:=DivisorSigma[1, n]-n; DoublyAbundantNumberQ[k_]:=If[s[k]>k && s[s[k]]>s[k], True, False]; Select[Range[500000], OddQ[ # ] && DoublyAbundantNumberQ[ # ] & ]

CROSSREFS

Cf. A125639, A001065, A005101.

Adjacent sequences: A129084 A129085 A129086 this_sequence A129088 A129089 A129090

Sequence in context: A034712 A045152 A096930 this_sequence A139409 A032427 A094324

KEYWORD

easy,nonn

AUTHOR

Ant King (mathstutoring(AT)ntlworld.com), Apr 02 2007

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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