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A265825 Continued fraction expansion of the prime zeta function at 4. 0
0, 12, 1, 83, 1, 1, 7, 3, 9, 1, 23, 1, 4, 1, 1, 5, 1, 2, 17, 1, 1, 3, 1, 16, 3, 2, 1, 10, 5, 89, 1, 1, 1, 4, 3, 2, 3, 1, 2, 2, 3, 3, 3, 13, 1, 3, 1, 5, 1, 56, 1, 2, 8, 1, 19, 1, 22, 5, 5, 3, 72, 1, 2, 1, 1, 11, 2, 8, 1, 2, 2, 1, 7, 2, 6, 3, 3, 3, 6, 2, 3, 7, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Continued fraction of Sum_{n>=1} 1/prime(n)^4 = 0.0769931397642468449426...
LINKS
Eric Weisstein's World of Mathematics, Prime Zeta Function
EXAMPLE
1/2^4 + 1/3^4 + 1/5^4 +1/7^4 + 1/11^4 + 1/13^4 +... = 1/(12 + 1/(1 + 1/(83 + 1/(1 + 1/(1 + 1/(7 + 1/(3 + 1/(9 + 1/...)))))))).
MATHEMATICA
ContinuedFraction[PrimeZetaP[4], 82]
CROSSREFS
Sequence in context: A278468 A280975 A075072 * A347492 A038327 A225750
KEYWORD
nonn,cofr
AUTHOR
Ilya Gutkovskiy, Dec 16 2015
STATUS
approved

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Last modified August 31 22:14 EDT 2024. Contains 375574 sequences. (Running on oeis4.)