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A323259 a(n) is the Y-coordinate of the n-th point of the first type of Wunderlich curve (starting at the origin and occupying the first quadrant). 3
0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 7, 6, 6, 7, 8, 8, 7, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 4, 3, 3, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 10, 11, 11, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..6561

PROG

(PARI) s = [0, 1, 2, 2+I, 1+I, I, 2*I, 1+2*I, 2+2*I];

w = apply(z -> imag(z) + I*real(z), s);

r = [0, 1, 0, 3, 2, 3, 0, 1, 0]

a(n) = {

    my (d=if (n>1, Vecrev(digits(n-1, 9)), [0]), z=s[1+d[1]]);

    for (i=2, #d,

        my (c=(3^(i-1)-1)/2*(1+I));

        z = 3^(i-1) * w[1+d[i]] + c + (z-c) * I^r[1+d[i]];

    );

    return (imag(z));

}

CROSSREFS

See A323258 for the X-coordinate and additional comments.

Sequence in context: A055224 A126295 A266686 * A162352 A285509 A194813

Adjacent sequences:  A323256 A323257 A323258 * A323260 A323261 A323262

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Jan 09 2019

STATUS

approved

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Last modified July 24 05:21 EDT 2019. Contains 325290 sequences. (Running on oeis4.)