

A165240


Integers of the form (a+b+c+..+z)/z where (a,b,c,..,z) is a list of 2 or more distinct consecutive nonprimes.


2



3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76
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OFFSET

1,1


COMMENTS

Contains A165239 (except 1) as a subsequence.


LINKS

Table of n, a(n) for n=1..71.


EXAMPLE

(4+6+8+9)/9=3;
(9+10+12+14+15)/15=4;
(10+12+14+15+16+18+20+21)/21=6;
(6+8+9+10+12+14+15+16+18)/18=6;
(14+15+16+18+20+21+22+24+25)/25=7;
(1+4+6+8+9+10+12+14+15+16+18+20+21+22)/22=8;


MATHEMATICA

lst={}; Do[a=0; If[ !PrimeQ[q], Do[If[ !PrimeQ[n], m=n; a+=m; e=a/n; If[IntegerQ[e]&&a!=n, If[e<83, AppendTo[lst, e], Break[]]]], {n, q, 3*6!}]], {q, 2*6!}]; lst=Take[Union@lst, 77]


CROSSREFS

Cf. A018252.
Sequence in context: A181590 A243293 A078923 * A092460 A092459 A039232
Adjacent sequences: A165237 A165238 A165239 * A165241 A165242 A165243


KEYWORD

nonn


AUTHOR

Vladimir Joseph Stephan Orlovsky, Sep 09 2009


STATUS

approved



