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A068341 Sum{k=1 to n} mu(k) mu(n+1-k), where mu(k) is the Moebius function. 11

%I #16 Mar 11 2014 01:32:11

%S 1,-2,-1,2,-1,4,-2,0,3,0,-1,-2,1,2,6,-8,0,-2,3,0,5,-4,2,-2,1,-2,1,-6,

%T 5,-2,4,-4,5,0,10,-6,-7,-2,2,-4,3,-2,1,-4,-1,4,10,4,4,-14,-1,-4,8,2,2,

%U -12,-3,2,13,10,-11,-10,-2,-6,13,-6,-5,-8,5,2,18,10,-5,-6,-9,0

%N Sum{k=1 to n} mu(k) mu(n+1-k), where mu(k) is the Moebius function.

%H Reinhard Zumkeller, <a href="/A068341/b068341.txt">Table of n, a(n) for n = 1..10000</a>

%t a[n_] := Sum[ MoebiusMu[k]*MoebiusMu[n + 1 - k], {k, 1, n}]; Table[ a[n], {n, 1, 76}] (* _Jean-François Alcover_, Oct 10 2011 *)

%o (Haskell)

%o a068341 n = a068341_list !! (n-1)

%o a068341_list = f 1 [] where

%o f x ms = (sum $ zipWith (*) ms' $ reverse ms') : f (x + 1) ms' where

%o ms' = (a008683 x) : ms

%o -- _Reinhard Zumkeller_, Aug 03 2012

%K sign

%O 1,2

%A _Leroy Quet_, Feb 27 2002

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Last modified August 26 07:40 EDT 2024. Contains 375454 sequences. (Running on oeis4.)