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A100581 Male of (1/(n+1), n/(1+n)) pair function used to get a dual population Fibonacci. 0
0, 1, 0, 1, 1, 3, 4, 7, 11, 18, 29, 47, 75, 123, 197, 321, 514, 836, 1343, 2181, 3508, 5692, 9167, 14865, 23959, 38838, 62635, 101503, 163773, 265344, 428291, 693791, 1120191, 1814345, 2930173, 4745365, 7665395, 12412755, 20054413, 32471888 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

These are rational functions and to get an integer popoulation a Floor[] function is necessary.(* if the Fibonacci is a rabbit population, then it has male and female components *) (* in this case the gfib (female) population is always larger or the same *) (* natural birth rate has the female popoulation slightly larger than the male in many mammals *) (* ratios of both populations still approach the golden mean *)

LINKS

Table of n, a(n) for n=0..39.

FORMULA

f[n_]:=(1/(n+1))^mod[n, 2]*(n/(n+1))^(1-mod[n, 2]) fib[n_Integer?Positive] :=fib[n] =fib[n-1]+fib[n-2] fib[0]=0;fib[1] = 1; ffib[n_Integer?Positive] :=ffib[n] =ffib[n-1]*f[n-1]+ffib[n-2]*f[n-2] ffib[0]=0;ffib[1] = 1; a(n) = Floor[ffib[n]*fib[n]]

CROSSREFS

Sequence in context: A319106 A250296 A279785 * A093090 A193686 A000204

Adjacent sequences:  A100578 A100579 A100580 * A100582 A100583 A100584

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Nov 29 2004

STATUS

approved

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Last modified May 20 21:39 EDT 2022. Contains 353876 sequences. (Running on oeis4.)