The On-Line Encyclopedia of Integer Sequences (OEIS)

A332384 revision #13

A332384

a(n) is the Y-coordinate of the n-th point of the dragon curve. Sequence A332383 gives X-coordinates.

0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, -1, -1, 0, 0, -1, -1, -2, -2, -1, -1, -2, -2, -3, -3, -4, -4, -5, -5, -4, -4, -5, -5, -6, -6, -5, -5, -6, -6, -5, -5, -4, -4, -3, -3, -4, -4, -5, -5, -6, -6, -5, -5, -6, -6, -7, -7, -8, -8, -9, -9, -8, -8, -9, -9, -10

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OFFSET

0,5

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8192

Index entries for sequences related to coordinates of 2D curves

FORMULA

For any k >= 0:

- a(2^(4*k)) = 0,

- a(2^(4*k+1)) = (-4)^k,

- a(2^(4*k+2)) = 2*(-4)^k,

- a(2^(4*k+3)) = 2*(-4)^k.