A159767 Continued fraction expansion of A006891.

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

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 A336810

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