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A269401 Permutation of natural numbers: a(1) = 1, a(A179016(1+n)) = 2*a(n), a(A213713(n)) = 1 + 2*a(n), where A179016 is the infinite trunk of binary beanstalk and A213713 is its complement. 6
1, 3, 2, 6, 7, 5, 4, 12, 13, 15, 14, 11, 9, 25, 10, 8, 27, 31, 24, 29, 23, 19, 26, 51, 21, 30, 17, 55, 63, 49, 28, 22, 59, 47, 18, 39, 53, 103, 50, 43, 61, 20, 35, 111, 127, 16, 99, 57, 54, 45, 119, 95, 62, 37, 79, 107, 48, 207, 101, 87, 123, 41, 58, 46, 71, 223, 38, 255, 33, 199, 52, 115, 109, 102, 91, 239, 191, 42, 125, 75, 60 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(1) = 1, for n > 1, if A213719(n) = 1 [when n is in A179016] a(n) = 2*a(A269371(n)-1), otherwise a(n) = 1 + 2*a(n-A269371(n)).

As a composition of other permutations:

a(n) = A269391(A269398(n)).

PROG

(Scheme, with memoization-macro definec)

(definec (A269401 n) (cond ((<= n 1) n) ((zero? (A213719 n)) (+ 1 (* 2 (A269401 (- n (A269371 n)))))) (else (* 2 (A269401 (+ -1 (A269371 n)))))))

CROSSREFS

Inverse: A269402.

Cf. A179016, A213713, A213719, A269371.

Related or similar permutations: A269391, A269398.

Sequence in context: A153142 A154447 A003188 * A268933 A268831 A154435

Adjacent sequences:  A269398 A269399 A269400 * A269402 A269403 A269404

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Mar 05 2016

STATUS

approved

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Last modified June 4 02:07 EDT 2020. Contains 334812 sequences. (Running on oeis4.)