The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A173254 a(n) = a(n-1) + a(n-2) - [a(n-2)/2] - [a(n-4)/2]. 0
 1, 1, 2, 3, 4, 6, 7, 9, 11, 13, 16, 19, 22, 26, 29, 33, 37, 41, 46, 51, 56, 62, 67, 73, 79, 85, 92, 99, 106, 114, 121, 129, 137, 145, 154, 163, 172, 182, 191, 201, 211, 221, 232, 243, 254, 266, 277, 289, 301, 313, 326 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The female population of Rabbits is; a(n)= f[n]-Floor[f[n]/2] Here that is the term: f[n - 2] - Floor[f[n - 2]/2] One natural child birth population limit is death by infection of the mothers. The fourth generation death of old age is the Floor[f[n - 4]/2] term. The resulting sequence approaches a stable population of rabbits at ratio one. The ratio on the 300th iteration is approaching 1. Henry Bottomley did some of these half floor sequences, but not in the further generations. LINKS FORMULA a(n)=a(n-1)+a(n-2)-Floor[a(n-2)/2]-Floor[a(n-4)/2] MATHEMATICA f[-2] = 0; f[-1] = 0; f[0] = 1; f[1] = 1; f[n_] := f[n] = f[n - 1] + f[n - 2] - Floor[f[n - 2]/2] - Floor[f[n - 4]/2] Table[f[n], {n, 0, 50}] CROSSREFS Cf. A023434 Sequence in context: A258470 A248357 A047872 * A015851 A225529 A065156 Adjacent sequences:  A173251 A173252 A173253 * A173255 A173256 A173257 KEYWORD nonn AUTHOR Roger L. Bagula, Nov 22 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 3 18:40 EDT 2020. Contains 333198 sequences. (Running on oeis4.)