login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Inverse Moebius transform of central binomial coefficients f[x]=C(c,[x/2])=A001405[x].
0

%I #5 Oct 15 2013 22:31:03

%S 1,3,4,9,11,26,36,79,130,265,463,956,1717,3470,6449,12949,24311,48772,

%T 92379,185027,352755,705897,1352079,2705182,5200311,10402319,20058430,

%U 40120076,77558761,155124243,300540196,601093339,1166803576,2333630533

%N Inverse Moebius transform of central binomial coefficients f[x]=C(c,[x/2])=A001405[x].

%F a(n)=Sum{C(d, [d/2])}, d|n and C(d, [d/2])=A001405[d].

%e n=9, divisors={1,3,9} a(9)=C[1,0]+C[3,1]+C[9,4]=1+3+126=130

%Y A001405.

%K nonn

%O 0,2

%A _Labos Elemer_, Jul 19 2001