|
Search: id:A157853
|
|
|
| A157853 |
|
a(n)=3600*n^2-1601*n+178 (n>0) |
|
+0
3
|
|
| 2177, 11376, 27775, 51374, 82173, 120172, 165371, 217770, 277369, 344168, 418167, 499366, 587765, 683364, 786163, 896162, 1013361, 1137760, 1269359, 1408158, 1554157, 1707356, 1867755, 2035354, 2210153, 2392152, 2581351, 2777750
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A157853] 3600*n.^2-1601*n +178 (2177, 11376, 27775,.,); Y=[A157854] 1728000*n - 384240 (1343760, 3071760..,); X=[A157855] 103680000*n^2-46108800*n +5126401 (62697601, 327628801,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 62697601^2-2177 *1343760^2=1; 327628801^2-11376*3071760^2=1.
|
|
LINKS
|
Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
Philippe Chevanne, Pell Equation
|
|
FORMULA
|
a(n)=3600*n^2-1601*n+178 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=2177; n=2, a(2)=11376; n=3, a(3)=27775
|
|
CROSSREFS
|
Cf. A157854, A157855
Sequence in context: A126844 A159712 A157476 this_sequence A072141 A008918 A035770
Adjacent sequences: A157850 A157851 A157852 this_sequence A157854 A157855 A157856
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 08 2009
|
|
|
Search completed in 0.002 seconds
|
