A191909 Decimal expansion of the limit of the square root of the ratio of consecutive Padovan numbers.

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

Offset

0,1

Comments

This is the square root of the inverse of the plastic number A060006: 1.32471795724...

This is the positive root of x^6 + x^4 - 1 = 0 and the square root of A075778.

An algebraic integer of degree 6 and minimal polynomial x^6 + x^4 - 1. - Charles R Greathouse IV, Apr 21 2016

Links

Table of n, a(n) for n=0..85.

Wikipedia, Plastic number

Index entries for algebraic numbers, degree 6

Example

0.868836961832709301806569964191...

Mathematica

RealDigits[x/.FindRoot[x^6+x^4==1, {x, .8}, WorkingPrecision->120]][[1]] (* Harvey P. Dale, Jan 17 2014 *)

Prog

(PARI) polrootsreal(x^6+x^4-1)[2] \\ Charles R Greathouse IV, Apr 21 2016

Crossrefs

Cf. A000931, A060006.

Sequence in context: A381688 A188655 A282152 * A247559 A246768 A088541

Adjacent sequences: A191906 A191907 A191908 * A191910 A191911 A191912

Keyword

nonn,cons

Author

Fabrice Auzanneau, Jun 19 2011

Status

approved