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A214672 Floor of the imaginary parts of the zeros of the complex Lucas function on the left half plane. 2
0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 31, 31, 32, 32, 33, 33, 34, 35, 35, 36 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

For the complex Lucas function L(z) and its zeros see a comment on A214671 where also the Koshy reference is given.

LINKS

Table of n, a(n) for n=0..64.

FORMULA

a(n) = floor((2*n+1)*a/2), n>=0, with a/2 = -y_0(0) = 2*Pi*log(phi)/(Pi^2 + (2*log(phi))^2), with phi:=(1+sqrt(5))/2. a/2 is approximately 0.2800649542.

  The constant a appeared in the corresponding Fibonacci case A214656.

CROSSREFS

Cf. A214671 (floor of real parts), A214673 (moduli), A214656 (Fibonacci case).

Sequence in context: A266977 A065603 A225215 * A268060 A084242 A182281

Adjacent sequences:  A214669 A214670 A214671 * A214673 A214674 A214675

KEYWORD

nonn

AUTHOR

Wolfdieter Lang, Jul 25 2012

STATUS

approved

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Last modified June 25 12:01 EDT 2019. Contains 324352 sequences. (Running on oeis4.)