A348355 - OEIS

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A348355

The base-7 expansion of a(n) is obtained by replacing 1's, 2's, 3's, 4's, 5's and 6's by 4's, 5's, 6's, 1's, 2's and 3's, respectively, in the base-7 expansion of n.

0, 4, 5, 6, 1, 2, 3, 28, 32, 33, 34, 29, 30, 31, 35, 39, 40, 41, 36, 37, 38, 42, 46, 47, 48, 43, 44, 45, 7, 11, 12, 13, 8, 9, 10, 14, 18, 19, 20, 15, 16, 17, 21, 25, 26, 27, 22, 23, 24, 196, 200, 201, 202, 197, 198, 199, 224, 228, 229, 230, 225, 226, 227, 231

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OFFSET

0,2

COMMENTS

This sequence is a self-inverse permutation of the nonnegative integers.

It is possible to build a similar sequence for any fixed base b > 1 and any permutation p of {1, ..., b-1}.

This sequence is interesting as it satisfies f(a(n)) = -f(n), where f(n) = (A334492(n), A334493(n)).

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..2400

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

The first terms, in decimal and in base 7, are: