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.

A131474 a(n) = ceiling(n/2)*ceiling(n^2/2).

This page as a plain text file.
%I A131474 #34 Aug 21 2024 12:26:58
%S A131474 0,1,2,10,16,39,54,100,128,205,250,366,432,595,686,904,1024,1305,1458,
%T A131474 1810,2000,2431,2662,3180,3456,4069,4394,5110,5488,6315,6750,7696,
%U A131474 8192,9265,9826,11034,11664,13015,13718,15220,16000,17661
%N A131474 a(n) = ceiling(n/2)*ceiling(n^2/2).
%H A131474 Vincenzo Librandi, <a href="/A131474/b131474.txt">Table of n, a(n) for n = 0..10000</a>
%H A131474 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,3,-3,-3,3,1,-1).
%F A131474 From _R. J. Mathar_, Dec 19 2008: (Start)
%F A131474 G.f.: x*(1 + x + 5*x^2 + 2*x^4 + 3*x^3)/((1+x)^3*(x-1)^4).
%F A131474 a(n) = A000982(n)*A004526(n+1). (End)
%F A131474 a(2*n) = A033431(n). - _Bernard Schott_, Mar 29 2020
%F A131474 a(2*n-1) = A059722(n). - _Michel Marcus_, Mar 29 2020
%t A131474 Table[Ceiling[n/2]*Ceiling[n^2/2], {n, 0, 50}] (* _Paolo Xausa_, Aug 21 2024 *)
%o A131474 (Magma) [Ceiling(n/2)*Ceiling(n^2/2) : n in [0..50]]; // _Vincenzo Librandi_, Oct 01 2011
%o A131474 (PARI) a(n)=ceil(n/2)*ceil(n^2/2) \\ _Charles R Greathouse IV_, Jun 11 2015
%Y A131474 Cf. A000982, A004526, A008619, A033431, A059722.
%K A131474 nonn,easy
%O A131474 0,3
%A A131474 _Mohammad K. Azarian_, Jul 27 2007