|
| |
|
|
A111014
|
|
Primes in the sequence A015519.
|
|
0
| | |
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Is there an infinity of primes in this sequence?
|
|
|
REFERENCES
| Prime Obsession, John Derbyshire, Joseph Henry Press, April 2004, p 16.
|
|
|
FORMULA
| Given a(0)=1, b(0)=1 then for i=1, 2, .. a(i)/b(i) = (a(i-1)+2*b(i-1)) /(a(i-1) + b(i-1)).
|
|
|
PROG
| (PARI) primenum(n, k, typ) = \ k=mult, typ=1 num, 2 denom. output prime num or denom. { local(a, b, x, tmp, v); a=1; b=1; for(x=1, n, tmp=b; b=a+b; a=k*tmp+a; if(typ==1, v=a, v=b); if(isprime(v), print1(v", "); ) ); print(); print(a/b+.) }
|
|
|
CROSSREFS
| Sequence in context: A046912 A185245 A006122 * A171184 A049462 A188684
Adjacent sequences: A111011 A111012 A111013 * A111015 A111016 A111017
|
|
|
KEYWORD
| easy,nonn,frac
|
|
|
AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Oct 02 2005
|
| |
|
|
