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.

A259165 Positive heptagonal numbers (A000566) that are pentagonal numbers (A000326) divided by 2.

This page as a plain text file.
%I A259165 #18 Aug 16 2015 12:04:01
%S A259165 540,125482435,29152330292086,6772727677992549813,
%T A259165 1573453639577432827392256,365547896447135621647431177175,
%U A259165 84924818396817988252797073116286650,19729903659220000770419185998874515952681,4583690677832384200588508141377728222042497188
%N A259165 Positive heptagonal numbers (A000566) that are pentagonal numbers (A000326) divided by 2.
%C A259165 Intersection of A000566 and A193866 (even pentagonal numbers divided by 2). - _Michel Marcus_, Jun 20 2015
%H A259165 Colin Barker, <a href="/A259165/b259165.txt">Table of n, a(n) for n = 1..186</a>
%H A259165 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (232323,-232323,1).
%F A259165 G.f.: -x*(x^2+28015*x+540) / ((x-1)*(x^2-232322*x+1)).
%e A259165 540 is in the sequence because 540 is the 15th heptagonal number, and 2*540 is the 27th pentagonal number.
%t A259165 LinearRecurrence[{232323, -232323, 1}, {540, 125482435, 29152330292086}, 20] (* _Vincenzo Librandi_, Jun 20 2015 *)
%o A259165 (PARI) Vec(-x*(x^2+28015*x+540)/((x-1)*(x^2-232322*x+1)) + O(x^20))
%Y A259165 Cf. A000326, A000566, A193866, A259156-A259164, A259166, A259167.
%K A259165 nonn,easy
%O A259165 1,1
%A A259165 _Colin Barker_, Jun 19 2015