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a(n) = difference between Jacobi-first-non-one(24n+1) and Jacobi-first-non-one(24n-1).
4

%I #5 Mar 31 2012 14:02:21

%S 0,2,-2,0,4,0,8,-2,0,0,0,12,-6,0,12,0,2,-2,0,-6,0,18,-6,0,0,0,2,-6,0,

%T -4,0,2,-2,0,18,0,2,-2,0,24,0,6,-2,0,0,0,6,-8,0,4,0,2,-2,0,-6,0,32,-6,

%U 0,0,0,2,-6,0,-10,0,2,-2,0,28,0,2,-2,0,4,0,38,-2,0,0,0,6,-6,0,4,0,2

%N a(n) = difference between Jacobi-first-non-one(24n+1) and Jacobi-first-non-one(24n-1).

%C The definition of Jacobi-first-non-one is given in A112056.

%H A. Karttunen, <a href="/A112080/b112080.txt">Table of n, a(n) for n = 1..4096</a>

%F a(n) = 4*A112054(n)+1.

%Y A112081(n) = a(n)/2. A112082 gives the points where a(n) is zero. A112059 gives the nonzero terms.

%K sign

%O 1,2

%A _Antti Karttunen_, Aug 27 2005