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

%I #7 Jun 13 2015 00:51:05

%S 1,7,30,108,360,1152,3600,11088,33840,102672,310320,935568,2815920,

%T 8466192,25435440,76380048,229287600,688157712,2065062960,6196368528,

%U 18591464880,55779113232,167346776880,502059205008,1506215363760

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

%C Inverse binomial transform of A016208. Binomial transform of A085278.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-6).

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

%F 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

%t 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 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jun 25 2003

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)