login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A339022 a(n) is the floor of the average distance among first n primes. 2
1, 2, 2, 4, 5, 6, 7, 9, 10, 12, 13, 15, 16, 18, 19, 21, 23, 24, 26, 27, 29, 30, 32, 34, 36, 38, 39, 41, 42, 44, 46, 48, 50, 52, 54, 56, 57, 59, 61, 63, 65, 67, 69, 71, 72, 74, 77, 79, 81, 83, 85, 86, 88, 90, 92, 95, 96, 98, 100, 102, 104, 106, 108 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

Is the limit of a(n)/n finite?

LINKS

Table of n, a(n) for n=2..64.

FORMULA

a(n) = floor((2/(n*(n-1))*Sum_{j=2..n} Sum_{i=1..j-1} (prime(j) - prime(i))).

MATHEMATICA

nmax=64;

Table[Total[Flatten[Table[Table[Prime[k] - Prime[j], {j, 1, k - 1}], {k, 2, n}]]]/(n*(n - 1)/2), {n, 2, nmax}]//Floor

CROSSREFS

Cf. A338869 (Shortest most frequent distance among first n primes).

Sequence in context: A260295 A024683 A244017 * A341467 A341468 A071528

Adjacent sequences:  A339019 A339020 A339021 * A339023 A339024 A339025

KEYWORD

nonn

AUTHOR

Andres Cicuttin, Nov 19 2020

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 26 00:47 EDT 2022. Contains 354073 sequences. (Running on oeis4.)