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.
%I A152105 #31 Aug 29 2024 02:12:57
%S A152105 1,8,68,608,5648,53888,523328,5139968,50839808,505038848,5030233088,
%T A152105 50181398528,501088391168,5006530347008,50039182082048,
%U A152105 500235092492288,5001410554953728,50008463329722368,500050779978334208,5000304679870005248,50001828079220031488,500010968475320188928
%N A152105 a(n) = (10^n + 6^n)/2.
%H A152105 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (16,-60).
%F A152105 a(n) = (10^n + 6^n)/2. - _Klaus Brockhaus_, Nov 26 2008
%F A152105 From _Philippe Deléham_, Nov 26 2008: (Start)
%F A152105 a(n) = 16*a(n-1) - 60*a(n-2), n > 1; a(0)=1, a(1)=8.
%F A152105 G.f.: (1-8*x)/((1-6*x)*(1-10*x)).
%F A152105 a(n) = (Sum_{k=0..n} A098158(n,k)*2^(4*k))/2^n. (End)
%F A152105 a(n) = 2^n*A081186(n). - _R. J. Mathar_, Feb 04 2021
%F A152105 E.g.f.: exp(8*x)*cosh(2*x). - _Elmo R. Oliveira_, Aug 23 2024
%t A152105 LinearRecurrence[{16,-60},{1,8},30] (* _Harvey P. Dale_, Jan 27 2015 *)
%Y A152105 Cf. A081186, A098158.
%K A152105 nonn,easy
%O A152105 0,2
%A A152105 Al Hakanson (hawkuu(AT)gmail.com), Nov 24 2008
%E A152105 Extended beyond a(6) by _Klaus Brockhaus_, Nov 26 2008
%E A152105 a(19)-a(21) from _Elmo R. Oliveira_, Aug 23 2024