|
Search: id:A010870
|
|
| |
|
| 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
If A=[A158410] 961*n.^2-2*n (n>0, 959, 3840, 8643,.,); Y=[A010870] 31 (31, 31, 31, ,.,); X=[A158412] 961*n-1 (n>0, 960, 1921, 2882, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 960^2-959*31^2=1; 1921^2-3840*31^2=1; 2882^2-8643*31^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
If A=[A158413] 961*n.^2+2*n (n>0, 963, 3848, 8655,.,); Y=[A010870] 31 (31, 31, 31, ,.,); X=[A158414] 961*n+1 (n>0, 962, 1923, 2884, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 962^2-963*31^2=1; 1923^2-3848*31^2=1; 2884^2-8655*31^2=1. [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
|
|
LINKS
|
Tanya Khovanova, Recursive Sequences
|
|
CROSSREFS
|
Cf. A158410, A158412 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
Cf. A158413, A158414 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009]
Sequence in context: A131762 A056999 A009734 this_sequence A003892 A085320 A140718
Adjacent sequences: A010867 A010868 A010869 this_sequence A010871 A010872 A010873
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
