A332252 - OEIS

A332252

a(n) is the imaginary part of f(n) defined by f(0) = 0 and f(n+1) = f(n) + i^A000120(n) (where i denotes the imaginary unit). Sequence A332251 gives real parts.

0, 0, 1, 2, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, -1, -2, -2, -2, -3, -4, -4, -5, -5, -5, -4, -3, -3, -3, -4, -4, -5, -6, -6, -6, -7, -8, -8, -9, -9, -9, -8, -8, -9, -10, -10, -11, -11, -11, -10, -11, -11, -11, -10, -10, -9, -8, -8, -7, -7, -7

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OFFSET

0,4

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).