cp's OEIS Frontend

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.

A101687 a(n) = Sum_{k=1..n} floor(binomial(n,k)/k).

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%I A101687 #7 Nov 14 2021 13:40:24
%S A101687 0,1,2,4,8,14,23,41,73,131,232,418,758,1388,2558,4742,8837,16547,
%T A101687 31111,58705,111133,210996,401645,766367,1465416,2807595,5388705,
%U A101687 10359733,19946714,38459504,74250895,143524561,277742291,538043338,1043333607,2025040417,3933914770
%N A101687 a(n) = Sum_{k=1..n} floor(binomial(n,k)/k).
%t A101687 Table[Sum[Floor[Binomial[n,k]/k],{k,n}],{n,40}] (* _Harvey P. Dale_, Nov 14 2021 *)
%Y A101687 Row sums of triangle A011857.
%Y A101687 Cf. A095718.
%K A101687 nonn
%O A101687 0,3
%A A101687 _Ralf Stephan_, Dec 15 2004
%E A101687 Missing a(0)=0 inserted by _Alois P. Heinz_, Nov 14 2021