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A159767 Continued fraction expansion of A006891. 2
2, 1, 1, 85, 2, 8, 1, 10, 16, 3, 8, 9, 2, 1, 40, 1, 2, 3, 2, 2, 1, 17, 1, 1, 5, 3, 2, 6, 3, 5, 1, 1, 3, 3, 15, 3, 1, 1, 7, 2, 3, 1, 7, 2, 1, 55, 1, 1, 1, 1, 4, 9, 1, 2, 1, 36, 1, 5, 10, 1, 1, 2, 1, 4, 1, 4, 5, 5, 1, 1, 130, 1, 3, 1, 1, 2, 1, 3, 1, 3, 2, 3, 2, 2, 547, 9, 18, 3, 1, 4, 2, 1, 1, 2, 2, 2, 1, 6, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Feigenbaum bifurcation velocity alpha.

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..995

EXAMPLE

-alpha = 2.50290787509589282... = 2 + 1/(1 + 1/(1 + 1/(85 + 1/(2 + ...))))

MATHEMATICA

(* assign to 'x' the Feigenbaum bifurcation velocity alpha *); ContinuedFraction[ x, 100] (* Robert G. Wilson v, May 31 2009 *)

PROG

From Harry J. Smith, May 15 2009: (Start)

(PARI) { default(realprecision, 1019); alpha=-2.\

5029078750958928222839028732182157863812713767271499773361920567\

7923546317959020670329964974643383412959523186999585472394218237\

7785445179272863314993372578112163594879503744781260997380598671\

2397117373289276654044010306698313834600094139322364490657889951\

2205843172507873377463087853424285351988587500042358246918740820\

4281700901714823051821621619413199856066129382742649709844084470\

1008054549677936760888126446406885181552709324007542506497157047\

0475419932831783645332562415378693957125097066387979492654623137\

6745918909813116752434221110130913127837160951158341230841503716\

4997020224681219644081216686527458043026245782561067150138521821\

6449532543349873487413352795815351016583605455763513276501810781\

1948369459574850237398235452625632779475397269902012891516645793\

9420198920248803394051699686551494477396533876979741232354061781\

9896112494095990353128997733611849847377946108428833293833903950\

9008914086351525626803381414669279913310743349705143545201344643\

4264752001621384610729922641994332772918977769053802596851; x=contfrac(-alpha); for (n=1, 996, write("b159767.txt", n-1, " ", x[n])); } (End)

CROSSREFS

Sequence in context: A172092 A156888 A173890 * A169658 A330199 A178473

Adjacent sequences:  A159764 A159765 A159766 * A159768 A159769 A159770

KEYWORD

nonn,cofr

AUTHOR

Harry J. Smith, Apr 21 2009

EXTENSIONS

Old PARI program deleted by Harry J. Smith, May 19 2009

STATUS

approved

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Last modified December 12 22:06 EST 2019. Contains 329963 sequences. (Running on oeis4.)