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A340819 Denominators of a sequence of fractions converging to A340820, the asymptotic density of numbers whose excess of prime divisors (A046660) is even (A162644). 3
6, 9, 54, 4, 264, 308, 7854, 374, 1564, 11339, 362848, 127541072, 1307295988, 2614591976, 42742894912, 1132686715168, 4608863185856, 71437379380768, 162734350229389504, 46216555465146619136, 427503138052606227008, 270181983249247135469056, 64347502466822129824768 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A340818 for details.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..462

MATHEMATICA

d[p_] := 1/(p*(p + 1)); delta[n_] := delta[n] = d[Prime[n]]; f[0] = 1; f[n_] := f[n] = f[n - 1] * (1 - delta[n]) + (1 - f[n - 1]) * delta[n]; Denominator @ Array[f, 30]

CROSSREFS

Cf. A046660, A162644, A340818 (numerators), A340820.

Sequence in context: A187998 A177181 A126110 * A254207 A098662 A056425

Adjacent sequences:  A340816 A340817 A340818 * A340820 A340821 A340822

KEYWORD

nonn,frac

AUTHOR

Amiram Eldar, Jan 22 2021

STATUS

approved

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Last modified October 23 17:37 EDT 2021. Contains 348215 sequences. (Running on oeis4.)