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A195617 Numerators b(n) of Pythagorean approximations b(n)/a(n) to 3. 4
35, 1333, 50615, 1922041, 72986939, 2771581645, 105247115567, 3996618809905, 151766267660819, 5763121552301221, 218846852719785575, 8310417281799550633, 315577009855663138475, 11983615957233399711421, 455061829365013525895519 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A195500 for discussion and list of related sequences; see A195616 for Mathematica program.

LINKS

Colin Barker, Table of n, a(n) for n = 1..632

Index entries for linear recurrences with constant coefficients, signature (37,37,-1).

FORMULA

a(n) = 37*a(n-1)+37*a(n-2)-a(n-3). - Colin Barker, Jun 04 2015

G.f.: -x*(x^2-38*x-35) / ((x+1)*(x^2-38*x+1)). - Colin Barker, Jun 04 2015

PROG

(PARI) Vec(-x*(x^2-38*x-35)/((x+1)*(x^2-38*x+1)) + O(x^50)) \\ Colin Barker, Jun 04 2015

CROSSREFS

Cf. A195500, A195616, A097315.

Sequence in context: A238379 A158733 A029560 * A249885 A135923 A180883

Adjacent sequences:  A195614 A195615 A195616 * A195618 A195619 A195620

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Sep 22 2011

STATUS

approved

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Last modified August 14 05:20 EDT 2022. Contains 356110 sequences. (Running on oeis4.)