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 A051054 #24 Jan 06 2022 08:17:18 %S A051054 0,1,3,7,15,26,54,85,159,292,513,804,1844,2965,5169,10679,20107,34120, %T A051054 72498,126028,245966,498852,913872,1644570,3600916,6530881,12280999, %U A051054 25149973,48355605,89310576,187976827,348475899,677303827 %N A051054 a(n) = Sum_{k=1..n} C(n, floor(n/k)). %H A051054 Seiichi Manyama, <a href="/A051054/b051054.txt">Table of n, a(n) for n = 0..1000</a> %F A051054 a(n) is asymptotic to 2^n/sqrt(n*Pi/2). - _Benoit Cloitre_, Jan 11 2003 %p A051054 A051054 := proc(n) local k; add(binomial(n,floor(n/k)), k=1..n); end; [seq(A051054(n), n=0..40)]; %t A051054 Table[Sum[Binomial[n, Floor[n/i]], {i, n}], {n, 0, 40}] (* _Wesley Ivan Hurt_, May 16 2016 *) %o A051054 (PARI) a(n) = sum(k=1, n, binomial(n, n\k)); \\ _Seiichi Manyama_, Jan 06 2022 %Y A051054 Cf. A056045, A273160, A273161, A345466. %K A051054 nonn,easy %O A051054 0,3 %A A051054 _N. J. A. Sloane_