|
| |
|
|
A018918
|
|
Define the sequence L(a_0,a_1) by a_{n+2} is the greatest integer such that a_{n+2}/a_{n+1}<a_{n+1}/a_n for n >= 0. This is L(3,6).
|
|
1
|
|
|
|
3, 6, 11, 20, 36, 64, 113, 199, 350, 615, 1080, 1896, 3328, 5841, 10251, 17990, 31571, 55404, 97228, 170624, 299425, 525455, 922110, 1618191, 2839728, 4983376, 8745216, 15346785, 26931731, 47261894, 82938843
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences,Advances in Number Theory ( Kingston ON,1991) 333-340,Oxford Sci. Publ.,Oxford Univ. Press, New York,1993;.
|
|
|
LINKS
|
Table of n, a(n) for n=0..30.
|
|
|
FORMULA
|
Conjecture: a(n) = 3*a(n-1)-3*a(n-2)+2*a(n-3)-a(n-4). G.f.: -(x^3-2*x^2+3*x-3) / ((x-1)*(x^3-x^2+2*x-1)). [Colin Barker, Dec 21 2012]
|
|
|
CROSSREFS
|
Seems to be A010901(n) - 1.
Sequence in context: A208851 A182845 A055417 * A077855 A054887 A019302
Adjacent sequences: A018915 A018916 A018917 * A018919 A018920 A018921
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. K. Guy
|
|
|
STATUS
|
approved
|
| |
|
|
