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.

A259079 Octagonal numbers (A000567) that are other octagonal numbers divided by 2.

This page as a plain text file.
%I A259079 #17 Dec 25 2019 23:10:00
%S A259079 280,373212840,497012764340408,661878856450449219400,
%T A259079 881433339438556519000044120,1173817118196415977287174306335208,
%U A259079 1563188689740940473437573487667885475320,2081720262768492984525248323578863263574296200
%N A259079 Octagonal numbers (A000567) that are other octagonal numbers divided by 2.
%C A259079 Intersection of A000567 and A033579 (even octagonal numbers divided by 2). - _Michel Marcus_, Jun 20 2015
%H A259079 Colin Barker, <a href="/A259079/b259079.txt">Table of n, a(n) for n = 1..163</a>
%H A259079 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1331715,-1331715,1).
%F A259079 G.f.: -8*x*(x^2+41580*x+35) / ((x-1)*(x^2-1331714*x+1)).
%e A259079 280 is in the sequence because 280 is the 10th octagonal number, and 2*280 is the 14th octagonal number.
%t A259079 LinearRecurrence[{1331715,-1331715,1},{280,373212840,497012764340408},20] (* _Harvey P. Dale_, Dec 04 2015 *)
%o A259079 (PARI) Vec(-8*x*(x^2+41580*x+35)/((x-1)*(x^2-1331714*x+1)) + O(x^20))
%Y A259079 Cf. A000567, A075528, A107736, A259078.
%K A259079 nonn,easy
%O A259079 1,1
%A A259079 _Colin Barker_, Jun 18 2015