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First differences of A377091, as in A379061, but take the square root of the magnitude of the difference, keeping the sign.
3

%I #12 Jan 20 2025 17:55:57

%S 1,1,-2,1,2,1,1,-3,1,3,1,1,-4,1,1,1,-2,-1,-1,-1,5,-2,1,1,1,-5,-1,-1,

%T -1,-1,-1,6,-2,1,1,1,-6,-1,-1,-1,-1,-1,7,-2,-1,-1,2,-1,2,1,1,-2,-7,-1,

%U -1,-1,-1,-1,-1,-1,8,-1,-1,-1,2,1,1,1,1,1,1,1,1,-9,2,1,1,1,-2,-1,-1,9,1,1,1,1,1,1,1,1,-10,3,-1,-1,-1,-1,-1,-1,-1,-1,10,1,1,1,1,1,1

%N First differences of A377091, as in A379061, but take the square root of the magnitude of the difference, keeping the sign.

%C By definition, the first differences of A377091 are positive or negative squares.

%H N. J. A. Sloane, <a href="/A379062/b379062.txt">Table of n, a(n) for n = 0..19999</a>

%t (* A377091list is defined at A377091 *)

%t Map[Sign[#]*Sqrt[Abs[#]] &, Differences[A377091list[100]]] (* _Paolo Xausa_, Jan 20 2025 *)

%Y Cf. A377091, A379061.

%K sign

%O 0,3

%A _N. J. A. Sloane_, Dec 27 2024