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A095719 Sum(floor(C(n-k,k)/(k+1)),k=0..n/2). 0

%I #5 Apr 02 2019 15:32:56

%S 1,1,2,2,4,5,8,11,18,25,40,59,90,137,210,319,492,754,1164,1798,2786,

%T 4317,6710,10438,16266,25377,39650,62013,97108,152212,238822,375058,

%U 589520,927365,1459960,2300097,3626211,5720649,9030450,14263675

%N Sum(floor(C(n-k,k)/(k+1)),k=0..n/2).

%C Sums of diagonal entries in A011847

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

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

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

%Y Cf. A011847.

%K nonn

%O 1,3

%A _Mike Zabrocki_, Jul 08 2004

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)