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A061654 a(n) = (3*16^n + 2)/5. 3

%I #20 Jul 02 2018 01:37:51

%S 1,10,154,2458,39322,629146,10066330,161061274,2576980378,41231686042,

%T 659706976666,10555311626650,168884986026394,2702159776422298,

%U 43234556422756762,691752902764108186,11068046444225730970,177088743107611695514

%N a(n) = (3*16^n + 2)/5.

%C Integers arising in Bode's sequence (3*2^m + 4)/10.

%H Harry J. Smith, <a href="/A061654/b061654.txt">Table of n, a(n) for n = 0..100</a>

%H M. Haynes and S. Churchman, <a href="http://www.astro.cornell.edu/academics/courses/astro201/bodes_law.htm">Bode's Law</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (17,-16).

%F From _Colin Barker_, Mar 13 2012: (Start)

%F a(n) = 17*a(n-1) - 16*a(n-2).

%F G.f.: (1-7*x)/((1-x)*(1-16*x)). (End)

%t (3*16^Range[0,20]+2)/5 (* or *) LinearRecurrence[{17,-16},{1,10},20] (* _Harvey P. Dale_, Feb 04 2015 *)

%o (PARI) { for (n=0, 100, write("b061654.txt", n, " ", (3*16^n + 2)/5) ) } \\ _Harry J. Smith_, Jul 25 2009

%Y Cf. A003461.

%K nonn,easy

%O 0,2

%A _G. L. Honaker, Jr._, Jun 16 2001

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Last modified April 23 02:23 EDT 2024. Contains 371906 sequences. (Running on oeis4.)