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 A041458 Numerators of continued fraction convergents to sqrt(245). 2
 15, 16, 31, 47, 360, 2207, 15809, 18016, 33825, 51841, 1589055, 1640896, 3229951, 4870847, 37325880, 228826127, 1639108769, 1867934896, 3507043665, 5374978561, 164756400495, 170131379056, 334887779551, 505019158607, 3870021889800, 23725150497407 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,103682,0,0,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^19 -15*x^18 +16*x^17 -31*x^16 +47*x^15 -360*x^14 +2207*x^13 -15809*x^12 +18016*x^11 -33825*x^10 -51841*x^9 -33825*x^8 -18016*x^7 -15809*x^6 -2207*x^5 -360*x^4 -47*x^3 -31*x^2 -16*x -15) / ((x^10 -322*x^5 +1)*(x^10 +322*x^5 +1)). - Colin Barker, Nov 18 2013 a(n) = 103682*a(n-10)-a(n-20). - Wesley Ivan Hurt, May 07 2021 MATHEMATICA Convergents[Sqrt[245], 30]//Numerator (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 103682, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {15, 16, 31, 47, 360, 2207, 15809, 18016, 33825, 51841, 1589055, 1640896, 3229951, 4870847, 37325880, 228826127, 1639108769, 1867934896, 3507043665, 5374978561}, 30] (* Harvey P. Dale, Jun 15 2023 *) CROSSREFS Cf. A041459, A040229. Sequence in context: A037971 A022105 A041456 * A041454 A041452 A041450 Adjacent sequences: A041455 A041456 A041457 * A041459 A041460 A041461 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Nov 18 2013 STATUS approved

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Last modified December 6 01:58 EST 2023. Contains 367594 sequences. (Running on oeis4.)