A244110 - OEIS

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A244110

Continued fraction expansion of the prime zeta function at 5.

0

0, 27, 1, 30, 2, 1, 5, 1, 3, 2, 2, 7, 1, 2, 12, 1, 1, 23, 1, 3, 1, 6, 1, 3, 16, 1, 1, 1, 4, 3, 3, 5, 1, 2, 1, 1, 7, 5, 1, 3, 1, 1, 1, 28, 14, 3, 3, 1, 6, 18, 11, 7, 1, 29, 1, 1, 2, 10, 1, 6, 1, 1, 8, 2, 303, 3, 1, 2, 1, 61, 1, 11, 1, 10, 10, 1, 1, 2, 1, 1, 45, 19, 1, 1, 1, 6, 1, 1, 2, 4, 1

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OFFSET

0,2

COMMENTS

Continued fraction of Sum_{n>=1} 1/prime(n)^5 = 0.0357550174839242571328...

LINKS

Table of n, a(n) for n=0..90.

Eric Weisstein's World of Mathematics, Prime Zeta Function

Wikipedia, Prime Zeta Function

Index entries for continued fractions for constants

Index entries for zeta function

EXAMPLE

1/2^5 + 1/3^5 + 1/5^5 +1/7^5 + 1/11^5 + 1/13^5 +... = 1/(27 + 1/(1 + 1/(30 + 1/(2 + 1/(1 + 1/(5 + 1/(1 + 1/(3 + 1/...)))))))).

MATHEMATICA

ContinuedFraction[PrimeZetaP[5], 90]

CROSSREFS

Cf. A013681, A085965.

Sequence in context: A040753 A040754 A059952 * A338659 A040755 A261197

Adjacent sequences: A244107 A244108 A244109 * A244111 A244112 A244113

KEYWORD

nonn,cofr

AUTHOR

Ilya Gutkovskiy, Dec 16 2015

STATUS

approved