A085277 Expansion of (1+x)^2/((1-2x)(1-3x)).

1, 7, 30, 108, 360, 1152, 3600, 11088, 33840, 102672, 310320, 935568, 2815920, 8466192, 25435440, 76380048, 229287600, 688157712, 2065062960, 6196368528, 18591464880, 55779113232, 167346776880, 502059205008, 1506215363760

Offset: 0

Author

Paul Barry, Jun 25 2003

Keywords

• easy
• nonn

Comments

Inverse binomial transform of A016208. Binomial transform of A085278.

Links

• Index entries for linear recurrences with constant coefficients, signature (5,-6).

Programs

Mathematica

CoefficientList[Series[(1+x)^2/((1-2x)(1-3x)),{x,0,30}],x] (* or *) Join[{1},LinearRecurrence[{5,-6},{7,30},30]] (* Harvey P. Dale, Sep 30 2012 *)

Formula

a(n)=16*3^n/3+0^n/6-9*2^n/2.

a(0)=1, a(1)=7, a(2)=30, a(n)=5*a(n-1)-6*a(n-2). - Harvey P. Dale, Sep 30 2012