|
| |
| |
|
|
|
1, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 111, 119, 127, 135, 143, 151, 159, 167, 175, 183, 191, 199, 207, 215, 223, 231, 239, 247, 255, 263, 271, 279, 287, 295, 303, 311, 319, 327, 335, 343, 351, 359, 367, 375, 383, 391, 399, 407, 415
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
|
|
|
FORMULA
| Equals "1" followed by A004771. Binomial transform of [1, 6, 2, -2, 2, -2, 2,...].
G.f.: (2*x^2+5*x+1)/(x-1)^2. [From Harvey P. Dale, Sep 13 2011]
|
|
|
EXAMPLE
| a(3) = 23 = 2*A016777(3) + A016777(2) - 4 = 2*10 + 7 - 4.
a(3) = 23 = (1, 3, 3, 1) dot (1, 6, 2, -2) = (1, 18, 6, -2).
|
|
|
MATHEMATICA
| CoefficientList[Series[(2 x^2+5 x+1)/(x-1)^2, {x, 0, 60}], x] (* From Harvey P. Dale, Sep 13 2011 *)
|
|
|
CROSSREFS
| Cf. A004771, A016777.
Sequence in context: A189754 A059562 A017149 * A004771 A029724 A194400
Adjacent sequences: A133652 A133653 A133654 * A133656 A133657 A133658
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 20 2007
|
|
|
EXTENSIONS
| More terms and corrected definition from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2008
|
| |
|
|
