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 A273161 #8 May 28 2021 03:40:40 %S A273161 0,1,2,3,5,7,13,19,34,61,108,174,384,641,1166,2337,4458,7828,16421, %T A273161 29346,57231,114126,215915,396491,839324,1549146,2983185,5978656, %U A273161 11628952,21812113,45099914,84842925,166417181,332267593,647614074,1234586894,2538571022 %N A273161 a(n) = Sum_{k=1..n} C(n-k, floor((n-k)/k)). %F A273161 a(n) ~ 2^(n - 3/2) / sqrt(Pi*n). - _Vaclav Kotesovec_, May 28 2021 %p A273161 A273161:=n->add(binomial(n-i,floor((n-i)/i)), i=1..n): seq(A273161(n), n=0..50); %t A273161 Table[Sum[Binomial[n - i, Floor[(n - i)/i]], {i, n}], {n, 0, 40}] %Y A273161 Cf. A051054, A273160. %K A273161 nonn,easy %O A273161 0,3 %A A273161 _Wesley Ivan Hurt_, May 16 2016