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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..36.

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

Adjacent sequences:  A101684 A101685 A101686 * A101688 A101689 A101690

KEYWORD

nonn,changed

AUTHOR

Ralf Stephan, Dec 15 2004

EXTENSIONS

Missing a(0)=0 inserted by Alois P. Heinz, Nov 14 2021

STATUS

approved

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Last modified November 28 01:24 EST 2021. Contains 349396 sequences. (Running on oeis4.)