|
Search: id:A070904
|
|
|
| A070904 |
|
a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n^4. |
|
+0
1
|
|
| 1, 16, 20976, 50649, 51933, 86768, 99857, 442973, 547720, 1374279, 6529369, 15997726, 16615151, 18691278, 30371349, 43665242
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
EXAMPLE
|
The continued fraction for S(5)=1+1/16+1/20976+1/50649+1/51933 is [1, 15, 1, 44, 7, 1, 1, 1, 1, 3, 2, 2, 3, 1, 6, 3, 1, 625, 2, 4] where the largest element is 625=5^4 and 51933 is the smallest integer > 50649 with this property.
|
|
PROGRAM
|
(PARI) s=1; t=1; for(n=2, 17, s=s+1/t; while(abs(n^3-vecmax(contfrac(s+1/t)))>0, t++); print1(t, ", "))
|
|
CROSSREFS
|
Sequence in context: A060205 A140597 A017296 this_sequence A017416 A087518 A017548
Adjacent sequences: A070901 A070902 A070903 this_sequence A070905 A070906 A070907
|
|
KEYWORD
|
easy,more,nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), May 19 2002
|
|
EXTENSIONS
|
6 more terms from Ryan Propper (rpropper(AT)stanford.edu), Aug 06 2005
|
|
|
Search completed in 0.002 seconds
|
