|
Search: id:A157857
|
|
| |
|
| 3599, 14398, 32397, 57596, 89995, 129594, 176393, 230392, 291591, 359990, 435589, 518388, 608387, 705586, 809985, 921584, 1040383, 1166382, 1299581, 1439980, 1587579, 1742378, 1904377, 2073576, 2249975, 2433574, 2624373, 2822372
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A157857] 3600*n.^2-n (3599, 14398, 32397,.,); Y=[A157858] 1728000*n -240 (1727760, 3455760..,); X=[A157859] 103680000*n^2-28800*n +1 (103651201, 414662401,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 103651201^2-3599 *1727760^2=1; 414662401^2-14398*3455760^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=3600*n^2-n (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=3599; n=2, a(2)=14398; n=3, a(3)=32397
|
|
CROSSREFS
|
Cf. A157858, A157859
Sequence in context: A004952 A004972 A156845 this_sequence A141781 A096472 A027824
Adjacent sequences: A157854 A157855 A157856 this_sequence A157858 A157859 A157860
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 08 2009
|
|
|
Search completed in 0.002 seconds
|
