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 A163334 Hilbert II curve in N x N grid, starting rightwards from the top-left corner, listed antidiagonally as A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), ... 36
 0, 1, 5, 2, 4, 6, 15, 3, 7, 47, 16, 14, 8, 46, 48, 17, 13, 9, 45, 49, 53, 18, 12, 10, 44, 50, 52, 54, 19, 23, 11, 43, 39, 51, 55, 59, 20, 22, 24, 42, 40, 38, 56, 58, 60, 141, 21, 25, 29, 41, 37, 69, 57, 61, 425, 142, 140, 26, 28, 30, 36, 70, 68, 62, 424, 426, 143, 139 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS A. Karttunen, Table of n, a(n) for n = 0..13202 Eric Weisstein's World of Mathematics, Hilbert curve Wikipedia, Self-avoiding walk Wikipedia, Space-filling curve (Wikipedia gives this curve as an example of a Peano curve. However it seems that this one was invented by Hilbert.) FORMULA a(n) = A163332(A163328(n)). EXAMPLE The top left 9x9 corner of the array shows how this surjective self-avoiding walk begins (connect the terms in numerical order, 0-1-2-3-...):    0  1  2 15 16 17 18 19 20    5  4  3 14 13 12 23 22 21    6  7  8  9 10 11 24 25 26   47 46 45 44 43 42 29 28 27   48 49 50 39 40 41 30 31 32   53 52 51 38 37 36 35 34 33   54 55 56 69 70 71 72 73 74   59 58 57 68 67 66 77 76 75   60 61 62 63 64 65 78 79 80 CROSSREFS Transpose: A163336. Inverse: A163335. One-based version: A163338. Row sums: A163342. Row 0: A163480. Column 0: A163481. Central diagonal: A163343. See A163357 & A163359 for other Hilbert curves. See also: A163528-A163529, A163531, A163534, A163536, A163897. Sequence in context: A257700 A006666 A267830 * A029683 A063567 A072223 Adjacent sequences:  A163331 A163332 A163333 * A163335 A163336 A163337 KEYWORD nonn,tabl,look AUTHOR Antti Karttunen, Jul 29 2009 EXTENSIONS Links to further derived sequences added by Antti Karttunen, Sep 21 2009 STATUS approved

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Last modified October 23 08:57 EDT 2019. Contains 328345 sequences. (Running on oeis4.)