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.

A074612 a(n) = 4^n + 6^n.

This page as a plain text file.
%I A074612 #19 Jan 13 2024 03:36:00
%S A074612 2,10,52,280,1552,8800,50752,296320,1745152,10339840,61514752,
%T A074612 366991360,2193559552,13127802880,78632599552,471258726400,
%U A074612 2825404874752,16943839313920,101628676145152,609634617917440
%N A074612 a(n) = 4^n + 6^n.
%H A074612 G. C. Greubel, <a href="/A074612/b074612.txt">Table of n, a(n) for n = 0..1000</a>
%H A074612 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,-24).
%F A074612 From _Mohammad K. Azarian_, Jan 11 2009: (Start)
%F A074612 G.f.: 1/(1-4*x) + 1/(1-6*x).
%F A074612 E.g.f.: exp(4*x) + exp(6*x). (End)
%F A074612 a(n) = 10*a(n-1) - 24*a(n-2) with a(0)=2, a(1)=10. - _Vincenzo Librandi_, Jul 21 2010
%p A074612 A074612:=n->4^n+6^n: seq(A074612(n), n=0..30); # _Wesley Ivan Hurt_, Apr 27 2017
%t A074612 Table[4^n + 6^n, {n, 0, 25}]
%t A074612 LinearRecurrence[{10,-24}, {2,10}, 30] (* _G. C. Greubel_, Jan 13 2024 *)
%o A074612 (Magma) [4^n+6^n: n in [0..30]]; // _G. C. Greubel_, Jan 13 2024
%o A074612 (SageMath) [4^n+6^n for n in range(31)] # _G. C. Greubel_, Jan 13 2024
%Y A074612 Cf. A000051, A007689, A034472, A034474, A034491, A052539, A062394.
%Y A074612 Cf. A062395, A062396, A063376, A063481, A074600 - A074624.
%K A074612 easy,nonn
%O A074612 0,1
%A A074612 _Robert G. Wilson v_, Aug 26 2002