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 A165150 a(n) = (3*10^n - 6^n)/2. 3

%I #12 Mar 21 2023 18:35:02

%S 1,12,132,1392,14352,146112,1476672,14860032,149160192,1494961152,

%T 14969766912,149818601472,1498911608832,14993469652992,

%U 149960817917952,1499764907507712,14998589445046272,149991536670277632,1499949220021665792,14999695320129994752,149998171920779968512

%N a(n) = (3*10^n - 6^n)/2.

%C Binomial transform of A165149. Inverse binomial transform of A165151.

%H Vincenzo Librandi, <a href="/A165150/b165150.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (16,-60).

%F a(n) = 16*a(n-1) - 60*a(n-2) for n > 1; a(0) = 1, a(1) = 12.

%F G.f.: (1 - 4*x)/((1 - 6*x)*(1 - 10*x)).

%F E.g.f.: exp(6*x)*(3*exp(4*x) - 1)/2. - _Stefano Spezia_, Mar 21 2023

%o (Magma) [ (3*10^n-6^n)/2: n in [0..17] ];

%Y Cf. A165149, A165151.

%K nonn,easy

%O 0,2

%A _Klaus Brockhaus_, Sep 15 2009

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Last modified March 3 07:55 EST 2024. Contains 370499 sequences. (Running on oeis4.)