|
Search: id:A157434
|
|
|
| A157434 |
|
a(n)=4*n^2+79*n+390 (n>0) |
|
+0
3
|
|
| 473, 564, 663, 770, 885, 1008, 1139, 1278, 1425, 1580, 1743, 1914, 2093, 2280, 2475, 2678, 2889, 3108, 3335, 3570, 3813, 4064, 4323, 4590, 4865, 5148, 5439, 5738, 6045, 6360, 6683, 7014, 7353, 7700, 8055, 8418, 8789, 9168, 9555, 9950, 10353, 10764
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A157434] 4*n.^2+79*n +390 (473,564,663,770,.,); Y=[A157435] 64*n+632 (696, 760, 824,888,..,); X=[A157433] 128*n^2+2528*n+12481 (15137,18049,21217,24641,.,) ; , we have for all terms, Pell's equation X^2-A*Y^2=1. Example: 15137^2-473*696^2=1; 18049^2-564*760^2=1; 21217^2-663*824^2=1.
|
|
LINKS
|
Vincenzo Librandi, X^2-AY^2=1
|
|
FORMULA
|
a(n)=4*n^2+79*n+390 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=473; n=2, a(2)=564; n=3, a(3)=663
|
|
CROSSREFS
|
Cf. A157435, A157436
Sequence in context: A034284 A006180 A074654 this_sequence A084629 A075286 A045302
Adjacent sequences: A157431 A157432 A157433 this_sequence A157435 A157436 A157437
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 01 2009
|
|
|
Search completed in 0.002 seconds
|
