|
| |
|
|
A022309
|
|
a(n)=a(n-1)+a(n-2)+1.
|
|
0
| |
|
|
0, 4, 5, 10, 16, 27, 44, 72, 117, 190, 308, 499, 808, 1308, 2117, 3426, 5544, 8971, 14516, 23488, 38005, 61494, 99500, 160995, 260496, 421492, 681989, 1103482, 1785472, 2888955, 4674428, 7563384
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,0,-1).
|
|
|
FORMULA
| G.f. -x*(-4+3*x) / ( (x-1)*(x^2+x-1) ). a(n)=A022095(n)-1. - R. J. Mathar, Apr 07 2011
|
|
|
MATHEMATICA
| RecurrenceTable[{a[0]==0, a[1]==4, a[n]==a[n-1]+a[n-2]+1}, a, {n, 40}] (* or *) CoefficientList[Series[-x(-4+3x)/((x-1)(x^2+x-1)), {x, 0, 40}], x] (* From Harvey P. Dale, Apr 24 2011 *)
|
|
|
CROSSREFS
| Sequence in context: A002970 A073611 A058594 * A049897 A049867 A054173
Adjacent sequences: A022306 A022307 A022308 * A022310 A022311 A022312
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
