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 A163336 Hilbert II curve in N x N grid, starting downwards 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), ... 25
 0, 5, 1, 6, 4, 2, 47, 7, 3, 15, 48, 46, 8, 14, 16, 53, 49, 45, 9, 13, 17, 54, 52, 50, 44, 10, 12, 18, 59, 55, 51, 39, 43, 11, 23, 19, 60, 58, 56, 38, 40, 42, 24, 22, 20, 425, 61, 57, 69, 37, 41, 29, 25, 21, 141, 426, 424, 62, 68, 70, 36, 30, 28, 26, 140, 142, 431, 427 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS A. Karttunen, Table of n, a(n) for n = 0..3320 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, although this is not the one Peano himself gave). 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 +5 +6 47 48 53 54 59 60 +1 +4 +7 46 49 52 55 58 61 +2 +3 +8 45 50 51 56 57 62 15 14 +9 44 39 38 69 68 63 16 13 10 43 40 37 70 67 64 17 12 11 42 41 36 71 66 65 18 23 24 29 30 35 72 77 78 19 22 25 28 31 34 73 76 79 20 21 26 27 32 33 74 75 80 CROSSREFS Transpose: A163334. Inverse: A163337. a(n) = A163332(A163330(n)) = A163327(A163333(A163328(n))) = A163334(A061579(n)). One-based version: A163340. Row sums: A163342. Row 0: A163481. Column 0: A163480. Central diagonal: A163343. See A163357 & A163359 for other Hilbert curves. Sequence in context: A077491 A086231 A201419 * A173898 A200644 A318265 Adjacent sequences:  A163333 A163334 A163335 * A163337 A163338 A163339 KEYWORD nonn,tabl AUTHOR Antti Karttunen, Jul 29 2009 STATUS approved

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)