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A006015 Nim product 2*n.
(Formerly M0412)
3
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; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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).

LINKS

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

MAPLE

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

MATHEMATICA

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-Fran├žois Alcover, May 20 2022, after Alois P. Heinz *)

CROSSREFS

Row 2 of array in A051775.

Sequence in context: A101281 A106033 A121634 * A301332 A110292 A138672

Adjacent sequences:  A006012 A006013 A006014 * A006016 A006017 A006018

KEYWORD

nonn,look

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Erich Friedman.

STATUS

approved

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Last modified July 4 08:01 EDT 2022. Contains 355070 sequences. (Running on oeis4.)