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A042532 Numerators of continued fraction convergents to sqrt(795). 2
28, 141, 1297, 6626, 372353, 1868391, 17187872, 87807751, 4934421928, 24759917391, 227773678447, 1163628309626, 65390959017503, 328118423397141, 3018456769591772, 15420402271356001, 866560983965527828 (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, 13252, 0, 0, 0, -1).

FORMULA

G.f.: (28 +141*x +1297*x^2 +6626*x^3 +1297*x^4 -141*x^5 +28*x^6 -x^7)/(1 -13252*x^4 +x^8). - Vincenzo Librandi, Nov 27 2013

a(n) = 13252*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 27 2013

MATHEMATICA

Numerator[Convergents[Sqrt[795], 30]] (* or *) CoefficientList[Series[(28 + 141 x + 1297 x^2 + 6626 x^3 + 1297 x^4 - 141 x^5 + 28 x^6 - x^7)/(1 - 13252 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 27 2013 *)

PROG

(MAGMA) I:=[28, 141, 1297, 6626, 372353, 1868391, 17187872, 87807751]; [n le 8 select I[n] else 13252*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 27 2013

CROSSREFS

Cf. A042533.

Sequence in context: A201102 A317680 A042530 * A187608 A069917 A028380

Adjacent sequences:  A042529 A042530 A042531 * A042533 A042534 A042535

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 28 23:26 EDT 2021. Contains 346340 sequences. (Running on oeis4.)