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A101687 a(n) = Sum_{k=1..n} floor(binomial(n,k)/k). 2

%I #7 Nov 14 2021 13:40:24

%S 0,1,2,4,8,14,23,41,73,131,232,418,758,1388,2558,4742,8837,16547,

%T 31111,58705,111133,210996,401645,766367,1465416,2807595,5388705,

%U 10359733,19946714,38459504,74250895,143524561,277742291,538043338,1043333607,2025040417,3933914770

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

%t Table[Sum[Floor[Binomial[n,k]/k],{k,n}],{n,40}] (* _Harvey P. Dale_, Nov 14 2021 *)

%Y Row sums of triangle A011857.

%Y Cf. A095718.

%K nonn

%O 0,3

%A _Ralf Stephan_, Dec 15 2004

%E Missing a(0)=0 inserted by _Alois P. Heinz_, Nov 14 2021

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Last modified May 20 14:05 EDT 2024. Contains 372716 sequences. (Running on oeis4.)