|
| |
|
|
A142888
|
|
First differences of A142705.
|
|
1
| |
|
|
3, -1, 13, -9, 29, -23, 51, -43, 79, -69, 113, -101, 153, -139, 199, -183, 251, -233, 309, -289, 373, -351, 443, -419
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Also obtained from A135370 if adjacent pairs are swapped and if the sequence is then multiplied by (-1)^(n+1).
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (-1,2,2,-1,-1).
|
|
|
FORMULA
| a(n)=A142705(n+1)-A142705(n).
a(n) = -a(n-1) +2*a(n-2) +2*a(n-3) -a(n-4) -a(n-5). [R. J. Mathar, Sep 12 2010]
a(2n-1)+a(2n) = A005843(n).
G.f.: x(3+2x+6x^2-x^4)/((1+x)^3*(1-x)^2). - R. J. Mathar, Oct 24 2008, parenthesis added Sep 12 2010
|
|
|
CROSSREFS
| Sequence in context: A152474 A088814 A088729 * A068439 A133171 A133177
Adjacent sequences: A142885 A142886 A142887 * A142889 A142890 A142891
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Sep 29 2008
|
|
|
EXTENSIONS
| Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 24 2008
|
| |
|
|