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.

A165151 a(n) = (3*11^n - 7^n)/2.

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%I A165151 #15 Mar 21 2023 18:34:58
%S A165151 1,13,157,1825,20761,233173,2598517,28818985,318655921,3516744733,
%T A165151 38764899277,426978842545,4700721921481,51735623710693,
%U A165151 569285638838437,6263498473368505,68907978330073441,758054227491947053,8339061763439391997,91732936225029132865,1009085096265691207801
%N A165151 a(n) = (3*11^n - 7^n)/2.
%C A165151 Binomial transform of A165150. Inverse binomial transform of A165152.
%H A165151 Vincenzo Librandi, <a href="/A165151/b165151.txt">Table of n, a(n) for n = 0..200</a>
%H A165151 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (18,-77).
%F A165151 a(n) = 18*a(n-1) - 77*a(n-2) for n > 1; a(0) = 1, a(1) = 13.
%F A165151 G.f.: (1 - 5*x)/((1 - 7*x)*(1 - 11*x)).
%F A165151 E.g.f.: exp(7*x)*(3*exp(4*x) - 1)/2. - _Stefano Spezia_, Mar 21 2023
%t A165151 Table[(3 11^n-7^n)/2,{n,0,20}] (* or *) LinearRecurrence[{18,-77},{1,13},20] (* _Harvey P. Dale_, Jan 28 2012 *)
%o A165151 (Magma) [ (3*11^n-7^n)/2: n in [0..17] ];
%Y A165151 Cf. A165150, A165152.
%K A165151 nonn,easy
%O A165151 0,2
%A A165151 _Klaus Brockhaus_, Sep 15 2009