login
A041072
Numerators of continued fraction convergents to sqrt(43).
2
6, 7, 13, 46, 59, 341, 400, 1541, 1941, 3482, 43725, 47207, 90932, 320003, 410935, 2374678, 2785613, 10731517, 13517130, 24248647, 304500894, 328749541, 633250435, 2228500846, 2861751281, 16537257251
OFFSET
0,1
LINKS
Les Tablettes du Chercheur, Problem 364, pp. 11, Mai 15 1891
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,6964,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -6*x^18 +7*x^17 -13*x^16 +46*x^15 -59*x^14 +341*x^13 -400*x^12 +1541*x^11 -1941*x^10 -3482*x^9 -1941*x^8 -1541*x^7 -400*x^6 -341*x^5 -59*x^4 -46*x^3 -13*x^2 -7*x -6) / (x^20 -6964*x^10 +1). - Colin Barker, Nov 04 2013
MATHEMATICA
Numerator[Convergents[Sqrt[43], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved