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A041174
Numerators of continued fraction convergents to sqrt(97).
3
9, 10, 59, 69, 128, 197, 325, 522, 847, 4757, 5604, 105629, 111233, 661794, 773027, 1434821, 2207848, 3642669, 5850517, 9493186, 53316447, 62809633, 1183889841, 1246699474, 7417387211, 8664086685, 16081473896, 24745560581, 40827034477, 65572595058
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,11208,0,0,0,0,0,0,0,0,0,0,1).
FORMULA
G.f.: -(x^21 -9*x^20 +10*x^19 -59*x^18 +69*x^17 -128*x^16 +197*x^15 -325*x^14 +522*x^13 -847*x^12 +4757*x^11 +5604*x^10 +4757*x^9 +847*x^8 +522*x^7 +325*x^6 +197*x^5 +128*x^4 +69*x^3 +59*x^2 +10*x +9) / (x^22 +11208*x^11 -1). - Colin Barker, Nov 14 2013
MATHEMATICA
Numerator[Convergents[Sqrt[97], 30]] (* Vincenzo Librandi, Oct 30 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {9, 10, 59, 69, 128, 197, 325, 522, 847, 4757, 5604, 105629, 111233, 661794, 773027, 1434821, 2207848, 3642669, 5850517, 9493186, 53316447, 62809633}, 30] (* Harvey P. Dale, Aug 02 2021 *)
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 14 2013
STATUS
approved