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 A273160 #10 May 28 2021 03:38:27 %S A273160 0,1,3,5,10,13,30,39,84,143,290,424,1120,1697,3521,6633,14012,22721, %T A273160 53529,88607,189749,356024,730697,1256272,2889484,5006918,10399649, %U A273160 19706342,40954970,72663140,160499071,286286349,597385864,1134282375,2340807724,4251969339 %N A273160 a(n) = Sum_{k=1..n} C(n, floor((n-k)/k)). %F A273160 a(n) ~ 2^(n + 1/2) / sqrt(Pi*n). - _Vaclav Kotesovec_, May 28 2021 %p A273160 A273160:=n->add(binomial(n,floor((n-i)/i)), i=1..n): seq(A273160(n), n=0..50); %t A273160 Table[Sum[Binomial[n, Floor[(n - i)/i]], {i, n}], {n, 0, 40}] %Y A273160 Cf. A051054, A273161. %K A273160 nonn,easy %O A273160 0,3 %A A273160 _Wesley Ivan Hurt_, May 16 2016