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A041658 Numerators of continued fraction convergents to sqrt(348). 2
18, 19, 37, 56, 485, 541, 1026, 1567, 57438, 59005, 116443, 175448, 1520027, 1695475, 3215502, 4910977, 180010674, 184921651, 364932325, 549853976, 4763764133, 5313618109, 10077382242, 15391000351, 564153394878, 579544395229, 1143697790107, 1723242185336 (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, 3134, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -18*x^14 +19*x^13 -37*x^12 +56*x^11 -485*x^10 +541*x^9 -1026*x^8 -1567*x^7 -1026*x^6 -541*x^5 -485*x^4 -56*x^3 -37*x^2 -19*x -18) / ((x^8 -56*x^4 +1)*(x^8 +56*x^4 +1)). - Colin Barker, Dec 28 2013

MATHEMATICA

Numerator[Convergents[Sqrt[348], 30]] (* Harvey P. Dale, Apr 30 2012 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 3134, 0, 0, 0, 0, 0, 0, 0, -1}, {18, 19, 37, 56, 485, 541, 1026, 1567, 57438, 59005, 116443, 175448, 1520027, 1695475, 3215502, 4910977}, 30] (* Bruno Berselli, Nov 06 2013 *)

CROSSREFS

Cf. A041659, A040329.

Sequence in context: A041654 A041656 A042507 * A041652 A041650 A041648

Adjacent sequences:  A041655 A041656 A041657 * A041659 A041660 A041661

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 28 2013

STATUS

approved

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Last modified June 24 17:50 EDT 2019. Contains 324330 sequences. (Running on oeis4.)