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A041232 Numerators of continued fraction convergents to sqrt(128). 2
11, 34, 181, 577, 12875, 39202, 208885, 665857, 14857739, 45239074, 241053109, 768398401, 17145817931, 52205852194, 278175078901, 886731088897, 19786259034635, 60245508192802, 321013799998645 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi and Bruno Berselli, Table of n, a(n) for n = 0..200 (first 151 terms from Vincenzo Librandi).

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1154,0,0,0,-1).

FORMULA

G.f.: (11 +34*x +181*x^2 +577*x^3 +181*x^4 -34*x^5 +11*x^6 -x^7) / ((1 -6*x +x^2)*(1 +6*x +x^2)*(1 +34*x^2 +x^4)). [Bruno Berselli, Oct 31 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[128], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

LinearRecurrence[{0, 0, 0, 1154, 0, 0, 0, -1}, {11, 34, 181, 577, 12875, 39202, 208885, 665857}, 30] (* Bruno Berselli, Oct 31 2013 *)

PROG

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((11+34*x+181*x^2+577*x^3+181*x^4-34*x^5+11*x^6-x^7)/((1-6*x+x^2)*(1+6*x+x^2)*(1+34*x^2+x^4)))); // Bruno Berselli, Oct 31 2013

CROSSREFS

Cf. A041233.

Sequence in context: A300418 A041539 A233933 * A050287 A096762 A184207

Adjacent sequences:  A041229 A041230 A041231 * A041233 A041234 A041235

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 22 07:40 EDT 2019. Contains 326172 sequences. (Running on oeis4.)