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A101687
a(n) = Sum_{k=1..n} floor(binomial(n,k)/k).
2
0, 1, 2, 4, 8, 14, 23, 41, 73, 131, 232, 418, 758, 1388, 2558, 4742, 8837, 16547, 31111, 58705, 111133, 210996, 401645, 766367, 1465416, 2807595, 5388705, 10359733, 19946714, 38459504, 74250895, 143524561, 277742291, 538043338, 1043333607, 2025040417, 3933914770
OFFSET
0,3
MATHEMATICA
Table[Sum[Floor[Binomial[n, k]/k], {k, n}], {n, 40}] (* Harvey P. Dale, Nov 14 2021 *)
CROSSREFS
Row sums of triangle A011857.
Cf. A095718.
Sequence in context: A107055 A202840 A018153 * A096461 A341277 A049701
KEYWORD
nonn
AUTHOR
Ralf Stephan, Dec 15 2004
EXTENSIONS
Missing a(0)=0 inserted by Alois P. Heinz, Nov 14 2021
STATUS
approved