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First differences of A155043.
3

%I #6 Nov 28 2015 03:04:51

%S 1,0,1,0,1,-1,2,-1,0,0,1,-1,2,-1,1,0,1,-2,3,-2,2,-2,3,-2,0,0,3,-3,4,

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

%U -7,8,-9,10,-8,7,0,2,-9,10,-9,9,-9,10,-12,13,-10

%N First differences of A155043.

%C a(n) = A155043(n+1) - A155043(n);

%C a(A264898(n)) = 0;

%C it is not true that in general a(even) >= 0 and a(odd) <= 0:

%C even indices with negative values: 224,226,1088,1090,1368,1520,1860, ...

%C odd indices with positive values: 225,441,445,675,1023,1035,1089,1093, ... .

%H Reinhard Zumkeller, <a href="/A264893/b264893.txt">Table of n, a(n) for n = 0..10000</a>

%o (Haskell)

%o a264893 n = a264893_list !! n

%o a264893_list = zipWith (-) (tail a155043_list) a155043_list

%Y Cf. A155043, A264898.

%K sign,look

%O 0,7

%A _Reinhard Zumkeller_, Nov 27 2015