|
Search: id:A158228
|
|
| |
|
| 227, 904, 2031, 3608, 5635, 8112, 11039, 14416, 18243, 22520, 27247, 32424, 38051, 44128, 50655, 57632, 65059, 72936, 81263, 90040, 99267, 108944, 119071, 129648, 140675, 152152, 164079, 176456, 189283, 202560, 216287, 230464, 245091, 260168
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158228] 225*n.^2+2*n (n>0g 227, 904, 2031, , ,.,); Y=[A010854] 15 (15, 15, 15,.,); X=[A158229] 225*n+1 (n>0, 226, 451, 676, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 226^2-227*15^2=1; 451^2-904*15^2=1; 676^2-2031*15^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=225*n^2+2*n (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=227; n=2, a(2)=904; n=3, a(3)=2031
|
|
CROSSREFS
|
Cf. A010854, A158229
Sequence in context: A142390 A142219 A031693 this_sequence A115998 A092324 A122976
Adjacent sequences: A158225 A158226 A158227 this_sequence A158229 A158230 A158231
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 14 2009
|
|
|
Search completed in 0.002 seconds
|
