|
Search: id:A158406
|
|
| |
|
| 902, 3604, 8106, 14408, 22510, 32412, 44114, 57616, 72918, 90020, 108922, 129624, 152126, 176428, 202530, 230432, 260134, 291636, 324938, 360040, 396942, 435644, 476146, 518448, 562550, 608452, 656154, 705656, 756958, 810060, 864962, 921664
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158406] 900*n.^2+2*n (n>0, 902, 3604, 8106,.,); Y=[A010869] 30 (30, 30, 30, ,.,); X=[A158407] 900*n+1 (n>0, 901, 1801, 2701, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 901^2-902*30^2=1; 1801^2-3604*30^2=1; 2701^2-8106*30^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=900*n^2+2*n (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=902; n=2, a(2)=3604; n=3, a(3)=8106
|
|
CROSSREFS
|
Cf. A010869, A158407
Sequence in context: A031738 A031618 A031528 this_sequence A111042 A115496 A098237
Adjacent sequences: A158403 A158404 A158405 this_sequence A158407 A158408 A158409
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vinenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009
|
|
|
Search completed in 0.002 seconds
|
