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.

A259162 Positive hexagonal numbers (A000384) that are pentagonal numbers (A000326) divided by 2.

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%I A259162 #11 Aug 16 2015 12:04:01
%S A259162 6,58311,559902916,5376187741821,51622154137063026,
%T A259162 495675918647891434531,4759480119234899417304336,
%U A259162 45700527609217585557064800441,438816461344227137284036796530846,4213515616126741362983735763224383551,40458176507232509223142693514443734326556
%N A259162 Positive hexagonal numbers (A000384) that are pentagonal numbers (A000326) divided by 2.
%C A259162 Intersection of A000384 and A193866 (even pentagonal numbers divided by 2). - _Michel Marcus_, Jun 20 2015
%H A259162 Colin Barker, <a href="/A259162/b259162.txt">Table of n, a(n) for n = 1..251</a>
%H A259162 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (9603,-9603,1).
%F A259162 G.f.: -x*(x^2+693*x+6) / ((x-1)*(x^2-9602*x+1)).
%e A259162 6 is in the sequence because 6 is the 2nd hexagonal number, and 2*6 is the 3rd pentagonal number.
%t A259162 LinearRecurrence[{9603, -9603, 1}, {6, 58311, 559902916}, 20] (* _Vincenzo Librandi_, Jun 20 2015 *)
%o A259162 (PARI) Vec(-x*(x^2+693*x+6)/((x-1)*(x^2-9602*x+1)) + O(x^20))
%Y A259162 Cf. A000326, A000384, A193866, A259156-A259161, A259163-A259167.
%K A259162 nonn,easy
%O A259162 1,1
%A A259162 _Colin Barker_, Jun 19 2015