

A191909


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


0



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
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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


EXAMPLE

0.8688369618327093091281...


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^41)[2] \\ Charles R Greathouse IV, Apr 21 2016


CROSSREFS

Cf. A000931, A060006.
Sequence in context: A159627 A011298 A188655 * A247559 A246768 A088541
Adjacent sequences: A191906 A191907 A191908 * A191910 A191911 A191912


KEYWORD

nonn,cons


AUTHOR

Fabrice Auzanneau, Jun 19 2011


STATUS

approved



