|
Search: id:A158371
|
|
| |
|
| 574, 2300, 5178, 9208, 14390, 20724, 28210, 36848, 46638, 57580, 69674, 82920, 97318, 112868, 129570, 147424, 166430, 186588, 207898, 230360, 253974, 278740, 304658, 331728, 359950, 389324, 419850, 451528, 484358, 518340, 553474, 589760
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158371] 576*n.^2-2*n (n>0, 574, 2300, 5178,.,); Y=[A010863] 24 (24, 24, 24 ,.,); X=[A158372] 576*n-1 (n>0, 575, 1151, 1727, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 575^2-574*24^2=1; 1151^2-2300*24^2=1; 1727^2-5178*24^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=576*n^2-2*n (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=574; n=2, a(2)=2300; n=3, a(3)=5178
|
|
CROSSREFS
|
Cf. A010863, A158372
Sequence in context: A049361 A090495 A092291 this_sequence A066154 A027456 A158372
Adjacent sequences: A158368 A158369 A158370 this_sequence A158372 A158373 A158374
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009
|
|
|
Search completed in 0.002 seconds
|
