|
Search: id:A145336
|
|
|
| A145336 |
|
Numbers x such that there exists n in N : (x+1)^3-x^3=43*n^2 |
|
+0
1
|
|
| 26, 893341, 30114541938, 1015161207853493, 34221084286626723946, 1153592750287025656383021, 38887611577954550590044930818, 1310901385139255150103388961508613
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
FORMULA
|
a(n+2)=33710*a(n+1)-a(n)+16854
|
|
EXAMPLE
|
a(1)=26 because the first relation is : 27^3-26^3=43*7^2
a(n)=-(1/2)+(53/4)*{[16855+1484*sqrt(129)]^n+[16855-1484*sqrt(129)]^n}-(7/6)*sqrt(129)*{[16855-1484*sqrt(129)]^n- [16855+1484*sqrt(129)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]
|
|
CROSSREFS
|
Sequence in context: A015035 A112946 A034246 this_sequence A005084 A050454 A005067
Adjacent sequences: A145333 A145334 A145335 this_sequence A145337 A145338 A145339
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Richard Choulet (richardchoulet(AT)yahoo.fr), Oct 08 2008
|
|
|
Search completed in 0.002 seconds
|
