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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.

A084627 a(n) = floor(C(n+6,6)/C(n+3,3)).

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%I A084627 #8 Mar 24 2023 10:41:14
%S A084627 1,1,2,4,6,8,11,14,18,22,28,34,40,48,57,66,77,88,101,115,130,146,163,
%T A084627 182,203,224,248,272,299,327,357,388,421,456,494,533,574,617,662,709,
%U A084627 759,810,864,921,980,1041,1105,1171,1240,1311,1386,1463,1542,1625,1711
%N A084627 a(n) = floor(C(n+6,6)/C(n+3,3)).
%H A084627 G. C. Greubel, <a href="/A084627/b084627.txt">Table of n, a(n) for n = 0..5000</a>
%F A084627 a(n) = 1 + floor(n*(n^2 +15*n +74)/120).
%F A084627 a(n) = floor(binomial(n+6,3)/20). - _G. C. Greubel_, Mar 24 2023
%t A084627 Table[Floor[Binomial[n+6,6]/Binomial[n+3,3]],{n,0,60}] (* _Harvey P. Dale_, Feb 07 2015 *)
%t A084627 Floor[Binomial[Range[6,76],3]/20] (* _G. C. Greubel_, Mar 24 2023 *)
%o A084627 (Magma) [Floor(Binomial(n+6,3)/20): n in [0..70]]; // _G. C. Greubel_, Mar 24 2023
%o A084627 (SageMath) [binomial(n+6,3)//20 for n in range(71)] # _G. C. Greubel_, Mar 24 2023
%Y A084627 Cf. A084626, A084628, A084630, A084631.
%K A084627 easy,nonn
%O A084627 0,3
%A A084627 _Paul Barry_, Jun 01 2003