|
Search: id:A158218
|
|
| |
|
| 167, 672, 1515, 2696, 4215, 6072, 8267, 10800, 13671, 16880, 20427, 24312, 28535, 33096, 37995, 43232, 48807, 54720, 60971, 67560, 74487, 81752, 89355, 97296, 105575, 114192, 123147, 132440, 142071, 152040, 162347, 172992, 183975, 195296
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158218] 169*n.^2-2*n (n>0g 167, 672, 1515, , ,.,); Y=[A010852] 13 (13, 13, 13,.,); X=[A158219] 169*n-1 (n>0, 168, 337, 506, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 168^2-167*13^2=1; 337^2-672*13^2=1; 506^2-1515*13^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=169*n^2-2*n (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=167; n=2, a(2)=672; n=3, a(3)=1515
|
|
CROSSREFS
|
Cf. A010852, A158219
Sequence in context: A052233 A142431 A142776 this_sequence A142287 A167574 A142843
Adjacent sequences: A158215 A158216 A158217 this_sequence A158219 A158220 A158221
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009
|
|
|
Search completed in 0.002 seconds
|
