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A332250
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a(n) is the Y-coordinate of the n-th point of the quadratic Koch curve. Sequence A332249 gives X-coordinates.
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5
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0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 10, 10, 9, 9, 8, 8, 7, 7, 6
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OFFSET
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0,9
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COMMENTS
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This sequence is the imaginary part of {f(n)} defined as:
- f(0) = 0,
- f(n+1) = f(n) + i^t(n)
where t(n) is the number of 1's minus the number of 3's
in the base 5 representation of n
and i denotes the imaginary unit.
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LINKS
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FORMULA
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a(5^k-m) = a(m) for any k >= 0 and m = 0..5^k.
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PROG
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(PARI) { k = [0, 1, 0, -1, 0]; z=0; for (n=0, 80, print1 (imag(z) ", "); z += I^vecsum(apply(d -> k[1+d], digits(n, #k)))) }
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CROSSREFS
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Cf. A332249 (X-coordinates and additional comments).
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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