|
|
A041445
|
|
Denominators of continued fraction convergents to sqrt(238).
|
|
2
|
|
|
1, 2, 5, 7, 103, 110, 323, 756, 23003, 46762, 116527, 163289, 2402573, 2565862, 7534297, 17634456, 536567977, 1090770410, 2718108797, 3808879207, 56042417695, 59851296902, 175745011499, 411341319900, 12515984608499, 25443310536898, 63402605682295
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,23326,0,0,0,0,0,0,0,-1).
|
|
FORMULA
|
G.f.: -(x^14 -2*x^13 +5*x^12 -7*x^11 +103*x^10 -110*x^9 +323*x^8 -756*x^7 -323*x^6 -110*x^5 -103*x^4 -7*x^3 -5*x^2 -2*x -1) / (x^16 -23326*x^8 +1). - Colin Barker, Nov 17 2013
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) I:=[1, 2, 5, 7, 103, 110, 323, 756, 23003, 46762, 116527, 163289, 2402573, 2565862, 7534297, 17634456]; [n le 16 select I[n] else 23326*Self(n-8)-Self(n-16): n in [1..30]]; // Vincenzo Librandi, Dec 18 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|