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A048647 Write n in base 4, then replace each digit by its base 4 negative. +0
15
0, 3, 2, 1, 12, 15, 14, 13, 8, 11, 10, 9, 4, 7, 6, 5, 48, 51, 50, 49, 60, 63, 62, 61, 56, 59, 58, 57, 52, 55, 54, 53, 32, 35, 34, 33, 44, 47, 46, 45, 40, 43, 42, 41, 36, 39, 38, 37, 16, 19, 18, 17, 28, 31, 30, 29, 24, 27, 26, 25, 20, 23, 22, 21, 192, 195, 194, 193, 204, 207, 206 (list; graph; listen)
OFFSET

0,2

COMMENT

The graph of a(n) on [ 1..4^k ] resembles a plane fractal of fractal dimension 1.

Self-inverse considered as a permutation of the positive integers.

LINKS

J. W. Layman, View fractal-like graph

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

a(15)=5, since 15 = 33(base 4) -> 11(base 4) = 5.

CROSSREFS

Cf. A065256.

Adjacent sequences: A048644 A048645 A048646 this_sequence A048648 A048649 A048650

Sequence in context: A059418 A092582 A068440 this_sequence A059438 A104980 A134090

KEYWORD

nonn,easy,nice

AUTHOR

John W. Layman (layman(AT)math.vt.edu (7/5/99))

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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