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.

A085474 C(2*n+4,4)-C(2*n,4).

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%I A085474 #16 Sep 08 2022 08:45:11
%S A085474 1,15,69,195,425,791,1325,2059,3025,4255,5781,7635,9849,12455,15485,
%T A085474 18971,22945,27439,32485,38115,44361,51255,58829,67115,76145,85951,
%U A085474 96565,108019,120345,133575,147741,162875,179009,196175,214405,233731
%N A085474 C(2*n+4,4)-C(2*n,4).
%C A085474 T(n,4) of A085475.
%H A085474 Vincenzo Librandi, <a href="/A085474/b085474.txt">Table of n, a(n) for n = 0..10000</a>
%H A085474 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1)
%F A085474 G.f.: (1 + 11*x + 15*x^2 + 5*x^3)/(1-x)^4.
%F A085474 a(n) = (16*n^3 + 12*n^2 + 14*n + 3)/3.
%p A085474 A085474:=n->(16*n^3+12*n^2+14*n+3)/3; seq(A085474(n), n=0..100); # _Wesley Ivan Hurt_, Nov 12 2013
%t A085474 Table[(16n^3+12n^2+14n+3)/3, {n,0,50}] (* _Wesley Ivan Hurt_, Nov 12 2013 *)
%t A085474 LinearRecurrence[{4,-6,4,-1},{1,15,69,195},40] (* _Harvey P. Dale_, Nov 10 2017 *)
%o A085474 (Magma) [(16*n^3+12*n^2+14*n+3)/3: n in [0..50]]; // _Vincenzo Librandi_, Sep 22 2011
%Y A085474 Cf. A016813, A085473.
%K A085474 nonn,easy
%O A085474 0,2
%A A085474 _Paul Barry_, Jul 01 2003