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.

A188475 a(n) = (2*n^3 + 3*n^2 + n + 3)/3.

This page as a plain text file.
%I A188475 #26 Sep 08 2022 08:45:56
%S A188475 1,3,11,29,61,111,183,281,409,571,771,1013,1301,1639,2031,2481,2993,
%T A188475 3571,4219,4941,5741,6623,7591,8649,9801,11051,12403,13861,15429,
%U A188475 17111,18911,20833,22881,25059,27371,29821,32413,35151,38039,41081,44281,47643
%N A188475 a(n) = (2*n^3 + 3*n^2 + n + 3)/3.
%C A188475 Hankel transform of A137398(n+1) (conjecture).
%H A188475 Vincenzo Librandi, <a href="/A188475/b188475.txt">Table of n, a(n) for n = 0..10000</a>
%H A188475 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A188475 G.f.: (1 - x + 5*x^2 - x^3)/(1-x)^4.
%F A188475 a(n) = A006331(n) + 1. - _Bruno Berselli_, Nov 14 2011
%p A188475 A188475:=n->(2*n^3+3*n^2+n+3)/3; seq(A188475(n),n=0..100); # _Wesley Ivan Hurt_, Nov 11 2013
%t A188475 LinearRecurrence[{4,-6,4,-1},{1,3,11,29},100] (* _Vincenzo Librandi_, Nov 25 2011 *)
%o A188475 (Magma) [(2*n^3+3*n^2+n+3)/3: n in [0..50]]; // _Vincenzo Librandi_, Nov 25 2011
%K A188475 nonn,easy
%O A188475 0,2
%A A188475 _Paul Barry_, Apr 01 2011