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A075116 Binomial transform of A073817: a(n)=Sum(Binomial(n,k)*A073817(k),(k=0,..,n)). 5

%I #6 Jun 24 2017 11:11:07

%S 4,5,9,23,69,210,627,1846,5405,15809,46254,135382,396327,1160294,

%T 3396892,9944688,29113741,85232259,249522603,730492701,2138562494,

%U 6260774221,18328804756,53658712275,157089206159,459888386910

%N Binomial transform of A073817: a(n)=Sum(Binomial(n,k)*A073817(k),(k=0,..,n)).

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5,-8,6,-1).

%F a(n)=5a(n-1)-8a(n-2)+6a(n-3)-a(n-4), a(0)=4, a(1)=5, a(2)=9, a(3)=23. G.f.: (4-15*z+16*z^2-6*z^3)/(1-5*z+8*z^2-6*z^3+z^4).

%t CoefficientList[Series[(4-15*z+16*z^2-6*z^3)/(1-5*z+8*z^2-6*z^3+z^4), {z, 0, 30}], z]

%t LinearRecurrence[{5,-8,6,-1},{4,5,9,23},30] (* _Harvey P. Dale_, Jun 24 2017 *)

%Y Cf. A073817.

%K easy,nonn

%O 0,1

%A Mario Catalani (mario.catalani(AT)unito.it), Sep 02 2002

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Last modified April 24 13:58 EDT 2024. Contains 371960 sequences. (Running on oeis4.)