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A262174 Sierpiński arrowhead curve as a triangular array starting leftward from the top, read by rows. 3
1, 2, 0, 0, 3, 4, 9, 8, 0, 5, 10, 0, 7, 6, 0, 0, 11, 0, 0, 23, 24, 13, 12, 0, 0, 22, 0, 25, 14, 0, 17, 18, 0, 21, 26, 0, 0, 15, 16, 0, 19, 20, 0, 27, 28, 69, 68, 0, 0, 0, 0, 0, 0, 0, 29, 70, 0, 67, 0, 0, 0, 0, 0, 31, 30, 0, 0, 71, 66, 0, 0, 0, 0, 0, 32, 0, 35, 36 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The triangle up to the (1 + 2^n)th row is the n-th iteration of the curve, rotated such that the curve begins at the top and continues down to the left.

As this is not a space-filling curve, not all points on the triangular lattice are reached by the curve; these points are given the value 0.

LINKS

Max Barrentine, Table of n, a(n) for n = 1..2144

Wikipedia, Sierpiński arrowhead curve

EXAMPLE

The first 5 rows of this triangle show how this curve begins (connect the terms in numerical order):

            1;

          2,  0;

        0,  3,  4;

      9,  8,  0,  5;

   10,  0,  7,  6,  0;

   ...

CROSSREFS

See also A163357, A163334, and A054238 for other fractal curves.

Sequence in context: A230414 A053653 A332629 * A064146 A336309 A336255

Adjacent sequences:  A262171 A262172 A262173 * A262175 A262176 A262177

KEYWORD

nonn,tabl,look

AUTHOR

Max Barrentine, Sep 13 2015

STATUS

approved

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Last modified April 18 03:59 EDT 2021. Contains 343072 sequences. (Running on oeis4.)