A233275 Permutation of nonnegative integers obtained by entangling complementary pair A005187 & A055938 with even and odd numbers.

0, 1, 3, 2, 6, 7, 5, 4, 12, 13, 14, 10, 15, 11, 9, 8, 24, 25, 26, 28, 27, 29, 20, 30, 21, 22, 18, 31, 23, 19, 17, 16, 48, 49, 50, 52, 51, 53, 56, 54, 57, 58, 40, 55, 59, 41, 60, 42, 61, 44, 36, 43, 45, 62, 46, 37, 38, 34, 63, 47, 39, 35, 33, 32, 96, 97, 98, 100

Offset: 0

Author

Antti Karttunen, Dec 18 2013

Keywords

• nonn

Comments

It seems that for all n, a(A000079(n)) = A003945(n).

Links

• Antti Karttunen, Table of n, a(n) for n = 0..8191
• Indranil Ghosh, Python Program to generate the sequence
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse permutation: A233276.

Cf. also A079559, A213714, A234017, A054429.

Similarly constructed permutation pairs: A135141/A227413, A232751/A232752, A233277/A233278, A233279/A233280, A003188/A006068.

Formula

a(0)=0, a(1)=1, and thereafter, if A079559(n)=1, a(n) = 2*a(A213714(n)-1), else a(n) = 1+(2*a(A234017(n))).

a(n) = A054429(A233277(n)). [Follows from the definitions of these sequences]