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A228569 Binomial transform of A006497. 2

%I

%S 2,5,19,80,343,1475,6346,27305,117487,505520,2175139,9359135,40270258,

%T 173273885,745558651,3207971600,13803182047,59391995435,255550431034,

%U 1099576168865,4731229551223,20357419249520,87593407593931,376894780221095,1621693678323682

%N Binomial transform of A006497.

%H P. Bhadouria, D. Jhala, B. Singh, <a href="http://dx.doi.org/10.22436/jmcs.08.01.07">Binomial Transforms of the k-Lucas Sequences and its Properties</a>, The Journal of Mathematics and Computer Science (JMCS), Volume 8, Issue 1, Pages 81-92; sequence B_3.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-3).

%F G.f.: ( 2-5*x ) / ( 1-5*x+3*x^2 ).

%F a(n) = 2*A116415(n)-5*A116315(n-1) for n>0.

%t LinearRecurrence[{5,-3},{2,5},30] (* _Harvey P. Dale_, Sep 09 2017 *)

%K easy,nonn

%O 0,1

%A _R. J. Mathar_, Nov 10 2013

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Last modified January 25 04:27 EST 2021. Contains 340416 sequences. (Running on oeis4.)