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Search: id:A100581
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| A100581 |
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Male of (1/(n+1), n/(1+n)) pair function used to get a dual population Fibonacci. |
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1
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| 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
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OFFSET
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0,6
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COMMENT
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These are rational functions and to get an integer popoulation a Floor[] function is necessary.(* if the Fibonacci is a rabbit population, thn it has male and femal 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*)
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FORMULA
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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]]
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CROSSREFS
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Adjacent sequences: A100578 A100579 A100580 this_sequence A100582 A100583 A100584
Sequence in context: A120365 A060962 A069950 this_sequence A093090 A000204 A075193
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 29 2004
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