A254104 - OEIS

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A254104

Permutation of natural numbers: a(0) = 0, a(3n) = 1 + 2*a(2n - 1), a(3n+1) = 1 + 2*a(2n), a(3n+2) = 2*a(n+1).

0, 1, 2, 3, 5, 4, 7, 11, 6, 9, 15, 10, 23, 13, 8, 19, 31, 14, 21, 47, 22, 27, 17, 12, 39, 63, 18, 29, 43, 30, 95, 45, 20, 55, 35, 46, 25, 79, 26, 127, 37, 16, 59, 87, 38, 61, 191, 62, 91, 41, 28, 111, 71, 42, 93, 51, 94, 159, 53, 44, 255, 75, 54, 33, 119, 34, 175, 77, 24, 123, 383, 78, 125, 183, 126, 83, 57, 36, 223, 143, 58, 85, 187, 86, 103, 189, 60

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OFFSET

0,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..9842

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(0) = 0, a(3n) = 1 + 2*a(2n - 1), a(3n+1) = 1 + 2*a(2n), a(3n+2) = 2*a(n+1).

Other identities:

a(A007051(n)) = 2^n for all n >= 0. [A property shared with A064216.]

PROG

(Scheme, with memoizing macro definec)