|
| |
|
|
A041861
|
|
Denominators of continued fraction convergents to sqrt(452).
|
|
2
|
|
|
|
1, 3, 4, 23, 73, 753, 2332, 12413, 14745, 56648, 2393961, 7238531, 9632492, 55400991, 175835465, 1813755641, 5617102388, 29899267581, 35516369969, 136448377488, 5766348224465, 17435493050883, 23201841275348, 133444699427623, 423535939558217, 4368804095009793
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,2408706,0,0,0,0,0,0,0,0,0,-1).
|
|
|
FORMULA
|
G.f.: -(x^18 -3*x^17 +4*x^16 -23*x^15 +73*x^14 -753*x^13 +2332*x^12 -12413*x^11 +14745*x^10 -56648*x^9 -14745*x^8 -12413*x^7 -2332*x^6 -753*x^5 -73*x^4 -23*x^3 -4*x^2 -3*x -1) / ((x^10 -1552*x^5 -1)*(x^10 +1552*x^5 -1)). - Colin Barker, Nov 26 2013
|
|
|
MATHEMATICA
|
|
|
|
PROG
|
(Magma) I:=[1, 3, 4, 23, 73, 753, 2332, 12413, 14745, 56648, 2393961, 7238531, 9632492, 55400991, 175835465, 1813755641, 5617102388, 29899267581, 35516369969, 136448377488]; [n le 20 select I[n] else 2408706*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 26 2013
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
|
AUTHOR
|
|
|
|
EXTENSIONS
|
|
|
|
STATUS
|
approved
|
| |
|
|
