cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A246168 a(n) = 2^n - 10.

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%I A246168 #28 Jan 11 2024 12:27:57
%S A246168 -9,-8,-6,-2,6,22,54,118,246,502,1014,2038,4086,8182,16374,32758,
%T A246168 65526,131062,262134,524278,1048566,2097142,4194294,8388598,16777206,
%U A246168 33554422,67108854,134217718,268435446,536870902,1073741814,2147483638
%N A246168 a(n) = 2^n - 10.
%H A246168 Vincenzo Librandi, <a href="/A246168/b246168.txt">Table of n, a(n) for n = 0..1000</a>
%H A246168 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%F A246168 G.f.: (-9+19*x)/(1-3*x+2*x^2).
%F A246168 a(n) = 3*a(n-1) - 2*a(n-2).
%F A246168 a(n) = A000079(n) - 10.
%F A246168 From _Elmo R. Oliveira_, Dec 21 2023: (Start)
%F A246168 a(n) = 2*a(n-1) + 10 for n>0.
%F A246168 E.g.f.: exp(x)*(exp(x) - 10). (End)
%t A246168 Table[2^n - 10, {n, 0, 35}] (* or *) CoefficientList[Series[(-9 + 19 x)/(1 - 3 x + 2 x^2), {x, 0, 35}], x]
%t A246168 LinearRecurrence[{3,-2},{-9,-8},50] (* _Harvey P. Dale_, Jan 11 2024 *)
%o A246168 (Magma) [2^n-10: n in [0..40]];
%o A246168 (PARI) vector(50, n, 2^(n-1)-10) \\ _Derek Orr_, Aug 18 2014
%Y A246168 Sequences of the form 2^n-k: A000079 (k=0),  A000225 (k=1), A000918 (k=2), A036563 (k=3), A028399 (k=4), A168616 (k=5), A131130 (k=6), A048490 (k=7), A159741 (k=8), A185346 (k=9), this sequence (k=10).
%K A246168 sign,easy
%O A246168 0,1
%A A246168 _Vincenzo Librandi_, Aug 18 2014