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.

A140429 a(n) = floor(3^(n-1)).

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%I A140429 #18 Apr 16 2018 11:10:20
%S A140429 0,1,3,9,27,81,243,729,2187,6561,19683,59049,177147,531441,1594323,
%T A140429 4782969,14348907,43046721,129140163,387420489,1162261467,3486784401,
%U A140429 10460353203,31381059609,94143178827,282429536481,847288609443
%N A140429 a(n) = floor(3^(n-1)).
%C A140429 Binomial transform of Jacobsthal numbers A001045.
%C A140429 Implicit use in A094555 (Barry).
%H A140429 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (3).
%F A140429 a(n) = floor(3^(n-1)) = A000244(n-1) = A133494(n), n >= 1.
%F A140429 O.g.f.: x/(1-3x). - _R. J. Mathar_, Aug 27 2008
%o A140429 (PARI) a(n)=if(n<2,n,3^(n-1)) \\ _Charles R Greathouse IV_, Oct 03 2016
%o A140429 (PARI) a(n)=floor(3^(n-1)) \\ _M. F. Hasler_, Apr 13 2018
%Y A140429 Cf. A000079, A131577, A133494.
%K A140429 nonn,easy
%O A140429 0,3
%A A140429 _Paul Curtz_, Jun 19 2008
%E A140429 Extended by _R. J. Mathar_, Aug 28 2008
%E A140429  New name by _M. F. Hasler_, Apr 13 2018