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A085277 Expansion of (1+x)^2/((1-2x)(1-3x)). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Inverse binomial transform of A016208. Binomial transform of A085278.

LINKS

Table of n, a(n) for n=0..24.

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

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

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 *)

CROSSREFS

Sequence in context: A038798 A276289 A062455 * A269084 A055269 A026631

Adjacent sequences:  A085274 A085275 A085276 * A085278 A085279 A085280

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jun 25 2003

STATUS

approved

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Last modified May 19 02:45 EDT 2019. Contains 323377 sequences. (Running on oeis4.)