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A041862
Numerators of continued fraction convergents to sqrt(453).
2
21, 64, 85, 149, 1575, 22199, 223565, 245764, 469329, 1653751, 69926871, 211434364, 281361235, 492795599, 5209317225, 73423236749, 739441684715, 812864921464, 1552306606179, 5469784740001, 231283265686221, 699319581798664, 930602847484885, 1629922429283549
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 3307502, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^19 -21*x^18 +64*x^17 -85*x^16 +149*x^15 -1575*x^14 +22199*x^13 -223565*x^12 +245764*x^11 -469329*x^10 -1653751*x^9 -469329*x^8 -245764*x^7 -223565*x^6 -22199*x^5 -1575*x^4 -149*x^3 -85*x^2 -64*x -21) / (x^20 -3307502*x^10 +1). - Colin Barker, Nov 26 2013
MATHEMATICA
Numerator[Convergents[Sqrt[453], 30]] (* Vincenzo Librandi, Nov 11 2013 *)
CROSSREFS
Sequence in context: A299450 A300088 A033481 * A041860 A041864 A041866
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 26 2013
STATUS
approved