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.

A155651 a(n) = 8^n-6^n+1^n.

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%I A155651 #19 Jul 07 2025 18:46:27
%S A155651 1,3,29,297,2801,24993,215489,1817217,15097601,124140033,1013275649,
%T A155651 8227137537,66542694401,536695119873,4319682347009,34714187104257,
%U A155651 278653866803201,2234873154240513,17912838552813569,143505828335845377
%N A155651 a(n) = 8^n-6^n+1^n.
%H A155651 Harvey P. Dale, <a href="/A155651/b155651.txt">Table of n, a(n) for n = 0..1000</a>
%H A155651 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (15,-62,48).
%F A155651 G.f.: 1/(1-8*x)-1/(1-6*x)+1/(1-x).
%F A155651 E.g.f.: e^(8*x)-e^(6*x)+e^x.
%F A155651 a(n)=14*a(n-1)-48*a(n-2)+35 with a(0)=1, a(1)=3. - _Vincenzo Librandi_, Jul 21 2010
%t A155651 Table[8^n-6^n+1,{n,0,20}] (* or *) LinearRecurrence[{15,-62,48},{1,3,29},20] (* _Harvey P. Dale_, Jul 12 2020 *)
%o A155651 (PARI) a(n)=8^n-6^n+1 \\ _Charles R Greathouse IV_, Jun 11 2015
%o A155651 (Magma) [8^n-6^n+1 : n in [0..30]]; // _Wesley Ivan Hurt_, Jul 07 2025
%Y A155651 Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650.
%K A155651 nonn,easy
%O A155651 0,2
%A A155651 _Mohammad K. Azarian_, Jan 31 2009