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.

A258128 Octagonal numbers (A000567) that are the sum of two consecutive octagonal numbers.

This page as a plain text file.
%I A258128 #12 Feb 19 2018 17:11:26
%S A258128 5461,813281,7272157205,1083057360705,9684433559760981,
%T A258128 1442322650052752161,12896895753596262561301,
%U A258128 1920761265591267733640321,17174976631595008767000306005,2557904668044167195987033355105,22872156829955018609383449248248341
%N A258128 Octagonal numbers (A000567) that are the sum of two consecutive octagonal numbers.
%H A258128 Colin Barker, <a href="/A258128/b258128.txt">Table of n, a(n) for n = 1..326</a>
%H A258128 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,1331714,-1331714,-1,1).
%F A258128 G.f.: -x*(x^4+20*x^3-1146230*x^2+807820*x+5461) / ((x-1)*(x^2-1154*x+1)*(x^2+1154*x+1)).
%e A258128 5461 is in the sequence because Oct(43) = 5461 = 2640 + 2821 = Oct(30) + Oct(31).
%t A258128 CoefficientList[Series[-x*(x^4 +20*x^3 -1146230*x^2 +807820*x +5461)/((x-1)*(x^2 -1154*x +1)*(x^2 +1154*x +1)), {x, 0, 50}], x] (* _G. C. Greubel_, Oct 18 2017 *)
%t A258128 LinearRecurrence[{1,1331714,-1331714,-1,1},{5461,813281,7272157205,1083057360705,9684433559760981},20] (* _Harvey P. Dale_, Feb 19 2018 *)
%o A258128 (PARI) Vec(-x*(x^4 +20*x^3 -1146230*x^2 +807820*x +5461)/((x-1)*(x^2 -1154*x +1)*(x^2 +1154*x +1)) + O('x^20))
%Y A258128 Cf. A000567, A258129, A258130, A258131, A258132.
%K A258128 nonn,easy
%O A258128 1,1
%A A258128 _Colin Barker_, May 21 2015