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.

A155646 a(n) = 8^n + 6^n - 1.

This page as a plain text file.
%I A155646 #23 Mar 02 2022 12:09:10
%S A155646 1,13,99,727,5391,40543,308799,2377087,18456831,144295423,1134207999,
%T A155646 8952731647,70896259071,562816507903,4476410675199,35654557073407,
%U A155646 284296086618111,2268726473129983,18115958466150399,144724547815866367
%N A155646 a(n) = 8^n + 6^n - 1.
%H A155646 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (15,-62,48).
%F A155646 G.f.: 1/(1-8*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(8*x)+e^(6*x)-e^x.
%F A155646 a(n) = 14*a(n-1)-48*a(n-2)-35 with a(0)=1, a(1)=13. [_Vincenzo Librandi_, Jul 21 2010]
%F A155646 a(0)=1, a(1)=13, a(2)=99, a(n) = 15*a(n-1)-62*a(n-2)+48*a(n-3). [_Harvey P. Dale_, Jul 17 2011]
%t A155646 Table[8^n+6^n-1,{n,0,20}] (* or *) LinearRecurrence[{15,-62,48},{1,13,99},20] (* _Harvey P. Dale_, Jul 17 2011 *)
%o A155646 (PARI) a(n)= 8^n+6^n-1 \\ _Charles R Greathouse IV_, Jul 31 2011
%Y A155646 Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645.
%K A155646 nonn,easy
%O A155646 0,2
%A A155646 _Mohammad K. Azarian_, Jan 31 2009