The revised Fibonacci sequence

[Epsilon=One]

The revised Fibonacci sequence (rFS)

(If no image appears below, "Click" your browser "Refresh" icon.)
http://i.g2d.us/Fibonacci.jpg
This post is in memoriam: Leonardo Fibonacci (www.CQthus.com/FibonacciFacts)
[ca. 1175-ca. 1250]

The revised Fibonacci sequence is the first Natural integer (www.101123.com/NI) sequence of the Brunardot Series (www.101123.com/BS) (BS) (Note: the coefficients of the Brunardot Series (www.101123.com/BS) (BS) terms are Fibonacci numbers).

The Brunardot Series (www.101123.com/BS) (BS) is:

http://i.g2d.us/bsc500.gif

Thus, the revised Fibonacci sequence is:

1, 0, 1, 1, 2, 3, 5... .......

Fibonacci probably began the sequence with 1 amd 1 as the first two terms; as, zero was little accepted as an integer in his day. Yet, many sources cite 0 and 1 as the first two terms. There are no known sources that cite 1 and 0 as the first two terms of the sequence, which are the most logical beginning terms; as, they arise from the first Natural integer values of the Brunardot Series (www.101123.com/BS) (BS) that is found in the seminal motion (www.101123.com/SM) of all fundamental phenomena, which explains the ubiquity of the Fibonacci sequence in Nature.

The revised Fibonacci sequence begins with the first Natural integer (www.101123.com/NI) and is generated by the second term that is the Natural function (www.101123.com/NF) of the first term.

It is, also, the Brunardot Series (www.101123.com/BS) (BS) relationship with the Brunardot Ellipse (www.101123.com/BE) (BE) that accounts for the revised Fibonacci sequence’s direct association with the Elliptical Constant (www.101123.com/EC), Golden Ratio (www.101123.com/GR), Phi and the circular constant, pi.

©Copyright 2005-2008 by Brunardot. All rights reserved.
Terms: PhysicsMathForums.com, Brunardot, and Pulsoid Theory must be cited.
Sorry! This Thread has not been completed.
Please Bookmark and return to this site often.

If there is an immediate need for information,
please e-mail directly at the below "Click" link.

Please note that any private correspondence
may be edited and anonymously posted unless
requested otherwise.

Every effort will be made to expedite a reply
with the requested information.Please ask questions. :)With questions it’s possible to know if
comments are logical and convincing;
or whether clarification is required.

http://1.g2d.us/e.gifhttp://2.g2d.us/e.gifhttp://3.g2d.us/e.gifhttp://4.g2d.us/e.gifhttp://5.g2d.us/e.gif
http://6.g2d.us/e.gif
If images don’t display, "click" the Refresh Icon.

[uropian]

Nor can Mehtap! I want to say that your site better throughout the World Wide Web :) Thank you. Keep it.

[OfficeShredder]

You never say where the Brunardot series comes from

[Epsilon=One]

You never say where the Brunardot series comes fromThe Brunardot Series (www.CQthus.com/PT/BS) (BS) comes from the pulses of the Brunardot Ellipse (www.CQthus.com/PT/BE) (BE), (perigee, "p,"; vector, "v,"; soliton, "s,"; and, apogee, "o"), that is the heuristic representation of the seminal quantum, which is analogous to the Planck volume (www.CQthus.com/PT/QC).