|
Search: id:A158133
|
|
| |
|
| 145, 289, 433, 577, 721, 865, 1009, 1153, 1297, 1441, 1585, 1729, 1873, 2017, 2161, 2305, 2449, 2593, 2737, 2881, 3025, 3169, 3313, 3457, 3601, 3745, 3889, 4033, 4177, 4321, 4465, 4609, 4753, 4897, 5041, 5185, 5329, 5473, 5617, 5761, 5905, 6049, 6193
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158132] 144*n.^2+2*n (n>0, 146, 580, 1302,.,. ,.,); Y=[A010851] 12 (12, 12, 12,.,); X=[A1581333] 144*n+1 (n>0, 145, 289, 433, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 145^2-146*12^2=1; 289^2-580*12^2=1; 433^2-1302*12^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=144*n+1 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=145; n=2, a(2)=289; n=3, a(3)=433
|
|
CROSSREFS
|
Cf. A158132, A010851
Sequence in context: A164770 A159777 A051414 this_sequence A094613 A116208 A031702
Adjacent sequences: A158130 A158131 A158132 this_sequence A158134 A158135 A158136
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 13 2009
|
|
|
Search completed in 0.002 seconds
|
