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A095719
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Sum(floor(C(n-k,k)/(k+1)),k=0..n/2).
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0
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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
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OFFSET
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1,3
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COMMENTS
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Sums of diagonal entries in A011847
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LINKS
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FORMULA
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a(n) = sum(floor(C(n-k, k)/(k+1)), k=0..n/2);
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MAPLE
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a:=n->add(floor(C(n-k, k)/(k+1)), k=0..n/2);
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MATHEMATICA
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Table[Sum[Floor[Binomial[n-k, k]/(k+1)], {k, 0, n/2}], {n, 40}] (* Harvey P. Dale, Apr 02 2019 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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