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a(n) is the y-coordinate of the n-th point in a square spiral mapped to a square grid rotated by Pi/4 using the symmetrized variant of the distance-limited strip bijection described in A368126.
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%I #12 Jan 07 2024 14:07:36

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

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

%U 4,3,2,1,0,0,-1,-1,-2,-3,-4,-4,-5,-6,-5,-4,-4,-3,-2,-1,0,0,1,2,2,3,4

%N a(n) is the y-coordinate of the n-th point in a square spiral mapped to a square grid rotated by Pi/4 using the symmetrized variant of the distance-limited strip bijection described in A368126.

%H Hugo Pfoertner, <a href="/A368128/b368128.txt">Table of n, a(n) for n = 0..3000</a>

%H <a href="/index/Con#coordinates_2D_curves">Index entries for sequences related to coordinates of 2D curves</a>

%o (PARI) \\ Identical to a368127(n), but with

%o a368128(n) = BijectionD([ax(n), ay(n)], Bijectionk)[2];

%Y A368127 gives the corresponding x-coordinates.

%Y Cf. A367150, A368126.

%K sign

%O 0,12

%A _Hugo Pfoertner_, Jan 07 2024