|
Search: id:A078357
|
|
|
| A078357 |
|
Minimal solutions of certain Pell equations. |
|
+0
3
|
|
| 1, 1, 2, 1, 2, 10, 1, 5, 2, 250, 1, 106, 1138, 2, 25, 146, 1
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
a(n) gives minimal (positive) solution of Pell equation b(n)^2 - D(n)*a(n)^2 = -4 with D(n)= A077426(n). The companion sequence is a(n)=A078356(n).
For the general solution of Pell equation b^2 - D(n)*a^2 = -4 see a comment in A078356 (with a and b interchanged).
For the conversion of the (x,y) values of Perron's table to the (b(n),a(n)) values see a A078356 comment.
|
|
REFERENCES
|
O. Perron, "Die Lehre von den Kettenbruechen, Bd.I", Teubner, 1954, 1957 (Sec. 30, Satz 3.35, p. 109 and table p. 108).
|
|
CROSSREFS
|
Sequence in context: A109529 A022694 A002079 this_sequence A086382 A062345 A077098
Adjacent sequences: A078354 A078355 A078356 this_sequence A078358 A078359 A078360
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 29 2002
|
|
|
Search completed in 0.002 seconds
|
