A118453 Decimal expansion of onset of logistic map 6-bifurcation.

3, 6, 2, 6, 5, 5, 3, 1, 6, 1, 6, 9, 4, 9, 7, 3, 7, 2, 5, 8, 7, 7, 2, 3, 2, 2, 5, 2, 0, 9, 3, 3, 1, 7, 4, 9, 1, 7, 0, 9, 4, 7, 5, 7, 8, 5, 7, 9, 5, 0, 2, 4, 6, 9, 6, 8, 0, 2, 4, 3, 7, 2, 2, 6, 7, 9, 0, 0, 7, 2, 1, 2, 0, 1, 0, 0, 8, 3, 9, 3, 8, 9, 1, 2, 6, 3, 2, 4, 7, 9, 3, 5, 6, 7, 3, 1, 3, 6, 2, 8, 3, 9, 9, 6, 9

Offset

1,1

Comments

Algebraic of order 40.

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Logistic Map

Example

3.6265531616949737258...

Mathematica

RealDigits[Root[3063651608241 + 583552687284*#1 + 1847916843066*#1^2 - 195203691396*#1^3 - 266965430067*#1^4 - 930539982708*#1^5 - 32353949026*#1^6 - 20846657216*#1^7 + 268499651644*#1^8 + 203273817100*#1^9 - 70347416426*#1^10 - 23477492116*#1^11 - 148805533357*#1^12 + 63425976316*#1^13 + 29299283358*#1^14 + 1219753488*#1^15 + 10442067223*#1^16 - 25709485160*#1^17 + 5757007476*#1^18 + 945192256*#1^19 + 3195434424*#1^20 + 746246488*#1^21 - 3839476860*#1^22 + 1483852216*#1^23 + 347099271*#1^24 - 126361652*#1^25 - 100717898*#1^26 - 75365092*#1^27 + 137026587*#1^28 - 48885412*#1^29 - 12966642*#1^30 + 16770304*#1^31 - 5563348*#1^32 + 195228*#1^33 + 516582*#1^34 - 225060*#1^35 + 52181*#1^36 - 7676*#1^37 + 722*#1^38 - 40*#1^39 + #1^40 &, 5], 10, 110][[1]]

Crossrefs

Cf. A086178, A086180, A091517, A098587, A118454.

Sequence in context: A194109 A194033 A259498 * A021969 A172372 A279390

Adjacent sequences: A118450 A118451 A118452 * A118454 A118455 A118456

Keyword

nonn,cons

Author

Eric W. Weisstein, Apr 28 2006

Status

approved