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A006015
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Nim product 2*n.
(Formerly M0412)
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3
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0, 2, 3, 1, 8, 10, 11, 9, 12, 14, 15, 13, 4, 6, 7, 5, 32, 34, 35, 33, 40, 42, 43, 41, 44, 46, 47, 45, 36, 38, 39, 37, 48, 50, 51, 49, 56, 58, 59, 57, 60, 62, 63, 61, 52, 54, 55, 53, 16, 18, 19, 17, 24, 26, 27, 25, 28, 30, 31, 29, 20, 22, 23, 21, 128, 130, 131, 129, 136, 138, 139
(list;
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refs;
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history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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J. H. Conway, On Numbers and Games. Academic Press, NY, 1976, pp. 51-53.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..16383 (first 1001 terms from R. J. Mathar)
Index entries for sequences related to Nim-multiplication
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MAPLE
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a:= proc(n) option remember; `if`(n=0, 0,
a(iquo(n, 4, 'r'))*4+[0, 2, 3, 1][r+1])
end:
seq(a(n), n=0..70); # Alois P. Heinz, Jan 25 2022
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MATHEMATICA
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a[n_] := a[n] = If[n == 0, 0, {q, r} = QuotientRemainder[n, 4]; a[q]*4 + {0, 2, 3, 1}[[r + 1]]];
Table[a[n], {n, 0, 70}] (* Jean-François Alcover, May 20 2022, after Alois P. Heinz *)
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CROSSREFS
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Row 2 of array in A051775.
Sequence in context: A101281 A106033 A121634 * A301332 A110292 A138672
Adjacent sequences: A006012 A006013 A006014 * A006016 A006017 A006018
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KEYWORD
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nonn,look
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Erich Friedman.
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STATUS
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approved
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