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 A084626 #12 Mar 24 2023 06:15:18
%S A084626 1,2,4,8,14,22,33,47,66,91,121,158,204,258,323,399,487,590,708,843,
%T A084626 996,1170,1365,1583,1827,2097,2397,2728,3091,3490,3927,4403,4921,5483,
%U A084626 6092,6751,7462,8227,9050,9933,10879,11891,12972,14125,15353,16660,18048
%N A084626 a(n) = floor(C(n+6,6)/C(n+2,2)).
%H A084626 Vincenzo Librandi, <a href="/A084626/b084626.txt">Table of n, a(n) for n = 0..1000</a>
%F A084626 a(n) = 1 + floor( n*(n+9)*(n^2 +9*n +38)/360 ).
%F A084626 a(n) = floor(binomial(n+6,4)/15). - _G. C. Greubel_, Mar 24 2023
%t A084626 Table[Floor[n*(n+9)*(n^2+9*n+38)/360] +1, {n,0,50}] (* _Vincenzo Librandi_, Aug 02 2013 *)
%t A084626 Floor[Binomial[Range[6,76],4]/15] (* _G. C. Greubel_, Mar 24 2023 *)
%o A084626 (Magma) [Floor(n*(n+9)*(n^2+9*n+38)/360)+1: n in [0..50]]; // _Vincenzo Librandi_, Aug 02 2013
%o A084626 (SageMath) [binomial(n+6,4)//15 for n in range(71)] # _G. C. Greubel_, Mar 24 2023
%Y A084626 Cf. A011865, A084624, A084627, A084628, A084630, A084631.
%K A084626 nonn,easy
%O A084626 0,2
%A A084626 _Paul Barry_, Jun 01 2003