|
| |
|
|
A089067
|
|
a(n) = 2*a(n-1)+(-1)^n*a([n/2]);a(1)=1.
|
|
3
| |
|
|
1, 3, 5, 13, 23, 51, 97, 207, 401, 825, 1627, 3305, 6559, 13215, 26333, 52873, 105539, 211479, 422557, 845939, 1691053, 3383733, 6765839, 13534983, 27066661, 54139881, 108273203, 216559621, 433106027, 866238387, 17322450441
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| a(2)=2*1+1=3; a(3)=2*3-1=5; a(4)=2*5+3=13; a(5)=2*13-3=23; a(6)=2*23+5=51; a(7)=2*51-5=97; ....
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 18 2010: (Start)
Prefaced with a 1, polcoeff (1, 1, 3, 5, 13,...) = A(x), then
(1, 1, 2, 4, 8, 16, 32,...) = A(x)/A(x^2). (End)
|
|
|
FORMULA
| a(n)/2^n -> 0.8067474...as n->infinity.
|
|
|
CROSSREFS
| Sequence in context: A153866 A104222 A045414 * A026733 A005824 A027305
Adjacent sequences: A089064 A089065 A089066 * A089068 A089069 A089070
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Dec 02 2003
|
| |
|
|
