login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A085421
a(0)=2, a(1)=1, a(n+2)=floor[(e-1/e)*a(n+1)+a(n-2)].
2
2, 1, 4, 10, 27, 73, 198, 538, 1462, 3974, 10802, 29363, 79816, 216962, 589764, 1603144, 4357797, 11845720, 32200005, 87528688, 237927642, 646754385, 1758060692, 4778904432, 12990409077, 35311592938, 95986861417
OFFSET
0,1
COMMENTS
a(n+1)/a(n) converges to e.
For n>0, floor[log a(n)] = n-1.
This resembles a Lucas sequence.
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Jun 29 2003
EXTENSIONS
Edited by Don Reble, Nov 14 2005
STATUS
approved