Shiokawa, Transcendence of RogersRamanujan continued fraction and reciprocal sums of Fibonacci numbers
As an aside, we should note that when s = 32, the truncated Fibonacci numbers
do not neatly add up to m = 96.
For completeness, we should prove the three lemmas concerning Fibonacci numbers
that were used in the proof that [c.sub.n][t.sub.2n+1] = [s.sub.4n-2].
Yang, "Melham's conjecture on odd power sums of Fibonacci numbers
," Quaestiones Mathematicae, vol.
The k-th order generalized Fibonacci numbers
form a sequence of positive integers [F.sub.n], where [F.sub.0] = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and for n > 0 satisfy the recurrence [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
Technically speaking, Silver is looking at a relatively blue sky scenario, with most of the moving average, and Fibonacci numbers
Division of Science, Mathematics, and Engineering--USC Sumter Connections between Fibonacci Numbers
and Lucas Numbers
But now, in this shallow age, the names we give to theories and concepts are just as important as their potential - the theories and formulae we recall from childhood maths all had great names - that's why we could remember them for exams: Fibonacci numbers
, Fermat, Pythagoras, and Tribonacci sequences.
The Fibonacci numbers
, that sequence beginning 1,1,2,3,5,8,13.
and the Turing machine are among the numerical terms and concepts.
Among his topics are Fibonacci numbers
, equi-angular lines, covering a cube minus one vertex, walking in the yard, turning a ladder over a finite field, the secret agent and the umbrella, and cutting cheaply using eigenvectors.
Campbell's GROWING PATTERNS: FIBONACCI NUMBERS
IN NATURE (9781590787526, $17.95) a survey including color photos by Sarah C.