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A095719 Sum(floor(C(n-k,k)/(k+1)),k=0..n/2). 0
1, 1, 2, 2, 4, 5, 8, 11, 18, 25, 40, 59, 90, 137, 210, 319, 492, 754, 1164, 1798, 2786, 4317, 6710, 10438, 16266, 25377, 39650, 62013, 97108, 152212, 238822, 375058, 589520, 927365, 1459960, 2300097, 3626211, 5720649, 9030450, 14263675 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Sums of diagonal entries in A011847

LINKS

Table of n, a(n) for n=1..40.

FORMULA

a(n) = sum(floor(C(n-k, k)/(k+1)), k=0..n/2);

MAPLE

a:=n->add(floor(C(n-k, k)/(k+1)), k=0..n/2);

MATHEMATICA

Table[Sum[Floor[Binomial[n-k, k]/(k+1)], {k, 0, n/2}], {n, 40}] (* Harvey P. Dale, Apr 02 2019 *)

CROSSREFS

Cf. A011847.

Sequence in context: A274142 A006206 A060280 * A153952 A050364 A078465

Adjacent sequences:  A095716 A095717 A095718 * A095720 A095721 A095722

KEYWORD

nonn

AUTHOR

Mike Zabrocki, Jul 08 2004

STATUS

approved

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Last modified September 22 13:48 EDT 2021. Contains 347607 sequences. (Running on oeis4.)