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 A022816 #27 Jul 08 2025 17:10:39
%S A022816 1,11,44,121,271,532,952,1590,2517,3817,5588,7943,11011,14938,19888,
%T A022816 26044,33609,42807,53884,67109,82775,101200,122728,147730,176605,
%U A022816 209781,247716,290899,339851,395126,457312,527032,604945,691747
%N A022816 Number of terms in 6th derivative of a function composed with itself n times.
%D A022816 W. C. Yang (yang(AT)math.wisc.edu), Derivatives of self-compositions of functions, preprint, 1997.
%H A022816 Vincenzo Librandi, <a href="/A022816/b022816.txt">Table of n, a(n) for n = 1..10000</a>
%H A022816 W. C. Yang, <a href="http://dx.doi.org/10.1016/S0012-365X(99)00412-4">Derivatives are essentially integer partitions</a>, Discrete Mathematics, 222(1-3), July 2000, 235-245.
%H A022816 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F A022816 a(n) = n*(n+1)*(n^3+24*n^2+81*n-46)/120. G.f.: x*(1+5*x-7*x^2+2*x^3)/(x-1)^6. - _R. J. Mathar_, Sep 15 2009
%t A022816 Table[n(n+1)(n^3+24n^2+81n-46)/120,{n,40}] (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1,11,44,121,271,532},40] (* _Harvey P. Dale_, Dec 29 2017 *)
%o A022816 (Magma) [n*(n+1)*(n^3+24*n^2+81*n-46)/120: n in [1..40]]; // _Vincenzo Librandi_, Oct 10 2011
%o A022816 (PARI) a(n)=n*(n+1)*(n^3+24*n^2+81*n-46)/120 \\ _Charles R Greathouse IV_, Oct 21 2022
%Y A022816 Cf. A008778, A022811-A022818, A024207-A024210.
%K A022816 nonn,easy
%O A022816 1,2
%A A022816 _N. J. A. Sloane_
%E A022816 More terms from _Christian G. Bower_, Aug 15 1999.