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A173199 a(n) = a(n-1)+a(n-2)-Floor(a(n-3)/2)-Floor(a(n-8)/2); initial terms are 0, 1, 1, 2, 3, 5, 7, 11. 1
0, 1, 1, 2, 3, 5, 7, 11, 16, 24, 35, 50, 72, 103, 147, 209, 297, 421, 597, 845, 1196, 1692, 2393, 3383, 4782, 6759, 9552, 13498, 19073, 26949, 38077, 53799, 76011, 107393, 151729, 214368, 302865, 427895, 604538, 854102 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A two wave dying rabbits type sequence with limiting ratio 1.41280984879641.

LINKS

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

MATHEMATICA

f[-6] = 0; f[-5] = 0; f[-4] = 0; f[-3] = 0; f[-2] = 0; f[-1] = 0;

f[0] = 0; f[1] = 1;

f[n_] := f[n] = f[n - 1] + f[n - 2] - Floor[f[n - 3]/2] - Floor[f[n -8]/2];

Table[f[n], {n, 0, 30}]

PROG

(MAGMA) I:=[0, 1, 1, 2, 3, 5, 7, 11]; [ n le 8 select I[n] else Self(n-1)+Self(n-2)-(Self(n-3) div 2)-(Self(n-8) div 2): n in [1..40] ];

CROSSREFS

Cf. A023438 (dying rabbits).

Sequence in context: A326592 A226541 A281578 * A023435 A274184 A091501

Adjacent sequences:  A173196 A173197 A173198 * A173200 A173201 A173202

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Nov 22 2010

STATUS

approved

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Last modified August 3 20:08 EDT 2020. Contains 336201 sequences. (Running on oeis4.)