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A332413

a(n) is the imaginary part of f(n) = Sum_{d_k > 0} 3^k * i^(d_k-1) where Sum_{k >= 0} 5^k * d_k is the base 5 representation of n and i denotes the imaginary unit. Sequence A332412 gives real parts.

0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 3, 3, 4, 3, 2, 0, 0, 1, 0, -1, -3, -3, -2, -3, -4, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 3, 3, 4, 3, 2, 0, 0, 1, 0, -1, -3, -3, -2, -3, -4, 9, 9, 10, 9, 8, 9, 9, 10, 9, 8, 12, 12, 13, 12, 11, 9, 9, 10, 9, 8, 6, 6, 7, 6, 5, 0, 0, 1, 0

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OFFSET

0,11

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..15624

FORMULA

a(n) = 0 iff the n-th row of A031219 has neither 2's nor 4's.

a(5*n) = 3*a(n).

a(5*n+1) = 3*a(n).

a(5*n+2) = 3*a(n) + 1.

a(5*n+3) = 3*a(n).

a(5*n+4) = 3*a(n) - 1.