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A170930 G(n,1) with n index G(n,i)=n*(G(n,i-1)+G(n,i-2))=(a^i-b^i)*d where d=sqrt(n*(n+4)); a=(n+d)/2; b=(n-d)/2 0

%I #2 Mar 30 2012 17:40:13

%S 0,21,63,252,945,3591,13608,51597,195615,741636,2811753,10660167,

%T 40415760,153227781,580930623,2202475212,8350217505,31658078151,

%U 120024886968,455048895357,1725221346975,6540810726996,24798096221913

%N G(n,1) with n index G(n,i)=n*(G(n,i-1)+G(n,i-2))=(a^i-b^i)*d where d=sqrt(n*(n+4)); a=(n+d)/2; b=(n-d)/2

%C n=1 A022088 n=2 12*A002605 n=3 above n=4 ... new

%F a(n) = 3*a(n-1)+3*a(n-2) = 21*A030195(n). G.f.: 21*x/(1-3*x-3*x^2). [From _R. J. Mathar_, Feb 05 2010]

%e G(n,0)=0 G(n,1)=n*(n+4)

%Y see above

%K nonn

%O 0,2

%A Claudio Peruzzi (claudio.peruzzi(AT)gmail.com), Feb 04 2010

%E More terms from _R. J. Mathar_, Feb 05 2010

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)