A260431 Permutation of natural numbers: a(1) = 1, a(A257804(n)) = 2*a(n), a(A257803(1+n)) = 1 + 2*a(n), where A257804 and A257803 give the positions of even and odd terms in A233271, the infinite trunk of inverted binary beanstalk.

1, 2, 4, 3, 8, 6, 5, 16, 9, 12, 10, 7, 32, 18, 24, 20, 17, 13, 14, 64, 11, 36, 33, 19, 25, 48, 21, 40, 34, 15, 26, 28, 128, 65, 37, 22, 72, 49, 66, 38, 41, 35, 50, 96, 42, 80, 68, 30, 27, 52, 56, 29, 129, 23, 73, 256, 67, 130, 74, 39, 44, 144, 98, 51, 97, 132, 76, 43, 82, 81, 70, 100, 69, 31, 53, 57, 257, 192, 84, 160, 131, 75, 45, 136, 60, 54

Offset: 1

Author

Antti Karttunen, Jul 27 2015

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A260432.

Related permutations: A260433, A260430, A054429.

Cf. A257800, A257803, A257804, A257807, A257808, A233271.

Cf. also A257806.

Formula

a(1) = 1; for n > 1, if A257800(n) = 0 [when n is one of the terms of A257804] a(n) = 2*a(A257808(n)), otherwise [when n is one of the terms of A257803] a(n) = 1 + 2*a(A257807(n)-1).

As a composition of other permutations:

a(n) = A054429(A260433(n)).

a(n) = A260433(A260430(n)).