|
Search: id:A157947
|
|
| |
|
| 99, 197, 295, 393, 491, 589, 687, 785, 883, 981, 1079, 1177, 1275, 1373, 1471, 1569, 1667, 1765, 1863, 1961, 2059, 2157, 2255, 2353, 2451, 2549, 2647, 2745, 2843, 2941, 3039, 3137, 3235, 3333, 3431, 3529, 3627, 3725, 3823, 3921, 4019, 4117, 4215, 4313
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A031692] 49*n.^2+n (50, 198, 444,.,); Y=[A010853] 14 (14, 14, 14, 14, ,.,); X=[A157947] 98*n+ 1 (99, 197, 295.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 99^2-50 *14^2=1; 197^2-198*14^2=1; 295^2-444*14^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=98*n+1 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=99; n=2, a(2)=197; n=3, a(3)=295
|
|
CROSSREFS
|
Cf. A031692, A010853
Sequence in context: A055164 A075815 A075814 this_sequence A097599 A033674 A043526
Adjacent sequences: A157944 A157945 A157946 this_sequence A157948 A157949 A157950
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 10 2009
|
|
|
Search completed in 0.002 seconds
|
