|
Search: id:A157912
|
|
| |
|
| 80, 272, 592, 1040, 1616, 2320, 3152, 4112, 5200, 6416, 7760, 9232, 10832, 12560, 14416, 16400, 18512, 20752, 23120, 25616, 28240, 30992, 33872, 36880, 40016, 43280, 46672, 50192, 53840, 57616, 61520, 65552, 69712, 74000, 78416, 82960
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A157912] 64*n.^2+16 (80, 272, 592,.,); Y=[A000027] n (1, 2,4,6,8,.,); X=[A081585] 8*n^2 + 1 (n>0, 9, 33, 73..,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 9^2-80 *1\^2=1; 33^2-272*2^2=1; 73^2-592*3^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Philippe Chevanne, Pell Equation
|
|
FORMULA
|
a(n)=64*n^2+16 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=80; n=2, a(2)=272; n=3, a(3)=592
|
|
CROSSREFS
|
Cf. A000027, A081585
Sequence in context: A044712 A044412 A044793 this_sequence A057441 A157953 A045666
Adjacent sequences: A157909 A157910 A157911 this_sequence A157913 A157914 A157915
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 09 2009
|
|
|
Search completed in 0.002 seconds
|
