|
| |
|
|
A042161
|
|
Denominators of continued fraction convergents to sqrt(605).
|
|
2
|
|
|
|
1, 1, 2, 5, 57, 62, 553, 615, 7318, 15251, 22569, 37820, 1837929, 1875749, 3713678, 9303105, 106047833, 115350938, 1028855337, 1144206275, 13615124362, 28374454999, 41989579361, 70364034360, 3419463228641, 3489827263001, 6909290491642, 17308408246285
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1860498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
|
|
|
FORMULA
|
G.f.: -(x^22 - x^21 + 2*x^20 - 5*x^19 + 57*x^18 - 62*x^17 + 553*x^16 - 615*x^15 + 7318*x^14 - 15251*x^13 + 22569*x^12 - 37820*x^11 - 22569*x^10 - 15251*x^9 - 7318*x^8 - 615*x^7 - 553*x^6 - 62*x^5 - 57*x^4 - 5*x^3 - 2*x^2 - x - 1) / ((x^4 - 11*x^2 - 1)*(x^4 + 11*x^2 - 1)*(x^8 - 11*x^6 + 122*x^4 + 11*x^2 + 1)*(x^8 + 11*x^6 + 122*x^4 - 11*x^2 + 1)). - Colin Barker, Dec 02 2013
a(n) = 1860498*a(n-12) - a(n-24) for n > 23. - Vincenzo Librandi, Jan 16 2014
|
|
|
MATHEMATICA
|
Denominator[Convergents[Sqrt[605], 30]] (* Vincenzo Librandi, Jan 16 2014 *)
|
|
|
CROSSREFS
|
Cf. A042160, A040580.
Sequence in context: A254406 A260654 A339167 * A176142 A101151 A138788
Adjacent sequences: A042158 A042159 A042160 * A042162 A042163 A042164
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
|
AUTHOR
|
N. J. A. Sloane
|
|
|
EXTENSIONS
|
More terms from Colin Barker, Dec 02 2013
|
|
|
STATUS
|
approved
|
| |
|
|
