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Search: id:A138234
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| A138234 |
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Integers which land on a free spot on the plane, according to the compass method described below. |
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+0
1
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 28, 29, 30, 33, 34, 35, 36, 37, 39, 40, 44, 45, 46, 47, 48, 55, 56, 57, 58, 59, 60, 66, 67, 68, 69, 70, 77, 78, 79, 80, 88, 89, 90, 99, 100, 101, 102, 103, 104, 107, 108, 109, 111, 112
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Terms computed by Jean-Marc Falcoz.
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LINKS
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Eric Angelini and Jean-Marc Falcoz Voyages de nombres.
Eric Angelini and Jean-Marc Falcoz, Illustration
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EXAMPLE
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..........................................
..................0.......................
...........9......*......1................
............*...........*.................
..........................................
.......8.*.................*.2............
..................X.......................
..........................................
.......7.*.................*.3............
..........................................
............*...........*.................
...........6......*......4................
..................5.......................
..........................................
Put an integer at the center of the compass (say integer 5083) and move it from one step-unit successively in the direction given by it's digit [in our example with 5083, we start at the center of the compass, then move one step-unit towards South (direction 5), then one step-unit towards North (direction 0), then one step-unit towards "8", then one step-unit towards "3": the integer 5083 would land precisely at the center of the compass]. Start to draw the landing point of each integer, one by one (see Illustration in the links for an animation); whenever an integer is about to land on an already occupied spot, the said integer is discarded from the sequence. [In our example, 5083 will be discarded because the center spot is occupied already by the number 16. So 16 is in the sequence but not 5083, nor 27, 38, 49, 50, etc.]
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CROSSREFS
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Sequence in context: A089870 A089869 A135579 this_sequence A032520 A034837 A096105
Adjacent sequences: A138231 A138232 A138233 this_sequence A138235 A138236 A138237
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KEYWORD
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base,easy,nonn,new
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AUTHOR
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Jean-Marc Falcoz and Eric Angelini (eric.angelini(AT)skynet.be), May 05 2008
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EXTENSIONS
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Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Oct 28 2009
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