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A261869 First differences of A055615. 4

%I #10 Apr 17 2016 10:02:28

%S -3,-1,3,-5,11,-13,7,0,10,-21,11,-13,27,1,-15,-17,17,-19,19,21,1,-45,

%T 23,0,26,-26,0,-29,-1,-1,31,33,1,1,-35,-37,75,1,-39,-41,-1,-1,43,0,46,

%U -93,47,0,0,51,-51,-53,53,55,-55,57,1,-117,59,-61,123,-62,0

%N First differences of A055615.

%C a(n) = (n+1)*mu(n+1) - n*mu(n), where mu = A008683 (Moebius function);

%C a(A068781(n)) = 0;

%C abs(a(n)) <= 2*n + 1.

%H Reinhard Zumkeller, <a href="/A261869/b261869.txt">Table of n, a(n) for n = 1..10000</a>

%t #[[2]]-#[[1]]&/@Partition[Table[n*MoebiusMu[n],{n,70}],2,1] (* _Harvey P. Dale_, Apr 17 2016 *)

%o (Haskell)

%o import Data.List (genericIndex)

%o a261869 n = genericIndex a261869_list (n - 1)

%o a261869_list = zipWith (-) (tail a055615_list) a055615_list

%Y Cf. A008683, A055615, A068781, A261890 (first differences).

%K sign

%O 1,1

%A _Reinhard Zumkeller_, Sep 04 2015

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Last modified April 25 12:14 EDT 2024. Contains 371969 sequences. (Running on oeis4.)