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A227352 Permutation of nonnegative integers: map each number by lengths of runs in its binary representation to the number in whose once left-shifted Zeckendorf representation occurs the same run lengths (in the same order) as the lengths of consecutive blocks of zeros. 4
0, 1, 4, 2, 7, 12, 6, 3, 11, 19, 33, 20, 10, 17, 9, 5, 18, 30, 51, 31, 54, 88, 53, 32, 16, 27, 46, 28, 15, 25, 14, 8, 29, 48, 80, 49, 83, 135, 82, 50, 87, 142, 232, 143, 86, 140, 85, 52, 26, 43, 72, 44, 75, 122, 74, 45, 24, 40, 67, 41, 23, 38, 22, 13, 47, 77 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

See the comments at the inverse permutation A227351 where the idea behind this mapping is explained.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8192

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(n) = A048680(A003188(n)). [The defining formula]

Moreover, this permutation effects the following correspondences:

For n>=1 A000523(n) = A102364(a(n)).

For all n, A167489(n) = A227355(a(2n+1)).

PROG

(Scheme) (define (A227352 n) (A048680 (A003188 n)))

CROSSREFS

Inverse permutation: A227351. Cf. A048680, A003188.

Sequence in context: A257502 A201207 A151890 * A255140 A108167 A261690

Adjacent sequences:  A227349 A227350 A227351 * A227353 A227354 A227355

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Jul 08 2013

STATUS

approved

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Last modified December 5 21:00 EST 2019. Contains 329779 sequences. (Running on oeis4.)