login
Partial sums of central numbers for a Moebius-binomial triangle.
2

%I #8 Mar 15 2014 10:16:16

%S 1,2,3,4,4,5,6,7,8,9,10,11,11,12,13,14,15,16,17,18,18,19,20,21,22,23,

%T 24,24,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,39,39,40,41,42,

%U 43,44,45,45,46,47,48,49,50,51,52,52,53,54,54,55,56,57,58,58,59,60,61,62

%N Partial sums of central numbers for a Moebius-binomial triangle.

%C Partial sums of A105597.

%H Vincenzo Librandi, <a href="/A105598/b105598.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n)=sum{k=0..n, binomial(abs(mu(k)), abs(mu(floor(k/2))))}

%t Accumulate[Table[Binomial[Abs[MoebiusMu[x]],Abs[MoebiusMu[Floor[x/2]]]],{x,0,80}]] (* _Harvey P. Dale_, Mar 13 2014 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Apr 15 2005