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”).

A077833
Expansion of 1/(1-2*x-3*x^2-2*x^3).
1
1, 2, 7, 22, 69, 218, 687, 2166, 6829, 21530, 67879, 214006, 674709, 2127194, 6706527, 21144054, 66662077, 210169370, 662613079, 2089058422, 6586294821, 20764991066, 65466983439, 206401529718, 650733991885, 2051606539802, 6468218114695, 20392723832566
OFFSET
0,2
MATHEMATICA
CoefficientList[Series[1/(1-2x-3x^2-2x^3), {x, 0, 30}], x] (* or *) LinearRecurrence[{2, 3, 2}, {1, 2, 7}, 30] (* Harvey P. Dale, Sep 07 2017 *)
PROG
(PARI) Vec(1/(1-2*x-3*x^2-2*x^3)+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012
CROSSREFS
Partial sums of S(n, x), x=1..19 see A077832 and A-number references.
First differences of A077826.
Sequence in context: A333494 A292399 A094618 * A106438 A291382 A109999
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Nov 17 2002
STATUS
approved