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A119526
Odd denominators of n * n-th harmonic number = A027611[2^n].
0
1, 1, 3, 35, 45045, 4512611027925, 2052546673789621992207225, 104326219460917277964091790659689347988584942875383375, 65134729714436885436168002936626505274493455112928327538888490982573786624726691153873697518277375333357875
OFFSET
0,3
COMMENTS
The next term (a(9)) has 218 digits. - Harvey P. Dale, Sep 12 2016
FORMULA
a(n) = Denominator[2^n*Sum[1/k,{k,1,2^n}]]. a(n) = A027611[2^n].
MATHEMATICA
Denominator[Table[2^n*Sum[1/k, {k, 1, 2^n}], {n, 0, 10}]]
With[{nn=300}, Select[Denominator[Times@@@Thread[{Range[nn], HarmonicNumber[Range[nn]]}]], OddQ]] (* Harvey P. Dale, Sep 12 2016 *)
CROSSREFS
Cf. A027611.
Sequence in context: A132513 A034174 A231831 * A112404 A189216 A291213
KEYWORD
frac,nonn
AUTHOR
Alexander Adamchuk, Jul 27 2006
STATUS
approved