|
| |
|
|
A127193
|
|
A 9th order Fibonacci sequence.
|
|
6
|
|
|
|
1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 17, 33, 65, 129, 257, 513, 1025, 2049, 4097, 8185, 16353, 32673, 65281, 130433, 260609, 520705, 1040385, 2078721, 4153345, 8298505, 16580657, 33128641, 66192001, 132253569, 264246529, 527972353, 1054904321
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,10
|
|
|
COMMENTS
|
9-Bonacci constant = 1.99802947.
|
|
|
LINKS
|
Table of n, a(n) for n=1..37.
E. S. Croot, Notes on Linear Recurrence Sequences
M. A. Lerma, Recurrence Relations
|
|
|
FORMULA
|
For a(1)=..=a(9)=1, a(10)=9, a(n)=2*a(n-1)-a(n-10). [From Vincenzo Librandi, Dec 20 2010]
|
|
|
MATHEMATICA
|
LinearRecurrence[{2, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 9}, 40] (* Harvey P. Dale, Oct 16 2012 *)
|
|
|
CROSSREFS
|
Cf. Fibonacci numbers A000045, tribonacci numbers A000213, tetranacci numbers A000288, pentanacci numbers A000322, hexanacci numbers A000383, 7th order Fibonacci numbers A060455, octanacci numbers.A123526.
Sequence in context: A090994 A164887 A111733 * A197344 A146236 A147279
Adjacent sequences: A127190 A127191 A127192 * A127194 A127195 A127196
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Luis A Restrepo (luisiii(AT)mac.com), Jan 07 2007
|
|
|
STATUS
|
approved
|
| |
|
|
