A276344 Permutation of natural numbers: a(1) = 1; a(A005187(1+n)) = A087686(1+a(n)), a(A055938(n)) = A088359(a(n)), where A088359 & A087686 = numbers that occur only once & more than once in A004001.

1, 3, 2, 7, 6, 5, 4, 15, 13, 14, 12, 11, 10, 9, 8, 31, 28, 29, 30, 23, 25, 27, 26, 22, 24, 21, 20, 19, 18, 17, 16, 63, 59, 60, 61, 50, 52, 62, 53, 55, 56, 58, 41, 44, 49, 57, 51, 46, 54, 48, 40, 43, 47, 45, 39, 42, 38, 37, 36, 35, 34, 33, 32, 127, 122, 123, 124, 108, 110, 125, 111, 113, 114, 126, 89, 92, 117, 115, 118, 94, 119, 121

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..8191

Index entries for sequences related to binary expansion of n

Index entries for sequences that are permutations of the natural numbers

Formula

a(1)=1; for n > 1, if A079559(n)=1 [when n is in A005187], a(n) = A087686(1+a(A213714(n)-1)), otherwise a(n) = A088359(a(A234017(n))).

As a composition of other permutations:

a(n) = A267112(A233275(n)).

a(n) = A276442(A233277(n)).

Prog

(Scheme)
(definec (A276344 n) (cond ((< n 2) n) ((not (zero? (A079559 n))) (A087686 (+ 1 (A276344 (- (A213714 n) 1))))) (else (A088359 (A276344 (A234017 n))))))

Crossrefs

Inverse: A276343.

Cf. A004001, A005187, A055938, A079559, A087686, A088359, A213714, A234017.

Similar or related permutations: A233275, A233277, A267112, A276346, A276442.

Sequence in context: A083569 A071574 A341336 * A334727 A341335 A276343

Adjacent sequences: A276341 A276342 A276343 * A276345 A276346 A276347

Keyword

nonn,base

Author

Antti Karttunen, Sep 03 2016

Status

approved