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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A217552 A constant relating to generating primes from fractions involving Bernoulli numbers, and the greedy sequence of prime offsets.

Original entry on oeis.org

3, 3, 0, 5, 2, 1, 9, 8, 2, 9, 1, 8, 5, 3, 4, 4, 6, 8, 2, 1, 9, 1, 9, 8, 2, 8, 1, 1, 4, 7, 7, 2, 6, 2, 9, 2, 0, 9, 0, 9, 2, 2, 8, 4, 4, 8, 1, 2, 3, 3, 1, 3, 5, 2, 5, 8
Offset: 1

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Author

Roger Thompson, Oct 06 2012

Keywords

Comments

If the prime k-tuple conjecture is true, then lim inf A217926(n)/(2n) exists, and has the value 3.305219...
If lim sup A217926(n)/(2n) exists, it appears to have a value less than 3.32.

Crossrefs

Cf. A217926, A135311.

Formula

The a(n) are the decimal digits of K = 3.305219..., where K is the solution of exp(2/K) = sum(exp(-g/K)), and where the g are the terms of the greedy sequence of prime offsets (A135311).
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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