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.
%I A283551 #50 Apr 19 2025 18:09:08
%S A283551 -1,0,2,6,13,24,40,62,91,128,174,230,297,376,468,574,695,832,986,1158,
%T A283551 1349,1560,1792,2046,2323,2624,2950,3302,3681,4088,4524,4990,5487,
%U A283551 6016,6578,7174,7805,8472,9176,9918,10699,11520,12382,13286,14233,15224,16260
%N A283551 a(n) = -1 + 5*n/6 + n^3/6.
%C A283551 Essentially a duplicate of A003600.
%H A283551 G. C. Greubel, <a href="/A283551/b283551.txt">Table of n, a(n) for n = 0..1000</a>
%H A283551 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A283551 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3.
%F A283551 a(n) = a(n-1) + A000124(n).
%F A283551 G.f.: -(1 - 4*x + 4*x^2 - 2*x^3)/(1-x)^4. - _Robert G. Wilson v_, Mar 15 2017
%F A283551 E.g.f.: (1/6)*(-6 + 6*x + 3*x^2 + x^3)*exp(x). - _G. C. Greubel_, Apr 18 2025
%e A283551 G.f. = -1 + 2*x^2 + 6*x^3 + 13*x^4 + 24*x^5 + 40*x^6 + 62*x^7 + ... - _Michael Somos_, Jul 07 2022
%p A283551 A283551:=n->-1 + 5*n/6 + n^3/6: seq(A283551(n), n=0..100); # _Wesley Ivan Hurt_, Oct 03 2017
%t A283551 Table[-1 + 5 n/6 + n^3/6, {n, 0, 39}] (* _Michael De Vlieger_, Mar 15 2017 *)
%o A283551 (Magma) [-1 + 5*n/6 + n^3/6 : n in [0..60]]; // _Wesley Ivan Hurt_, Oct 03 2017
%o A283551 (SageMath)
%o A283551 def A283551(n): return (n^3 +5*n -6)//6
%o A283551 print([A283551(n) for n in range(61)]) # _G. C. Greubel_, Apr 18 2025
%Y A283551 Essentially a duplicate of A003600.
%K A283551 sign,easy,less
%O A283551 0,3
%A A283551 _Paul Curtz_, Mar 10 2017
%E A283551 Corrected by _Jeremy Gardiner_, Jan 29 2019