A245607 Permutation of natural numbers, the even bisection of A245605 halved: a(n) = A245605(2*n)/2.

1, 2, 3, 5, 4, 9, 13, 6, 17, 37, 8, 25, 7, 10, 69, 33, 26, 11, 41, 16, 277, 45, 18, 65, 21, 14, 1109, 15, 52, 73, 57, 74, 35, 209, 82, 293, 141, 34, 53, 329, 12, 1173, 31, 36, 213, 149, 104, 43, 49, 20, 145, 173, 138, 81, 581, 114, 553, 71, 90, 133, 101, 282, 19, 325, 24, 457, 165, 50, 77, 97, 62, 105, 555, 42

Offset: 1

Author

Antti Karttunen, Jul 29 2014

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10001
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A245608.

Cf. A064216, A064989, A245705, A245707, A245605, A245609-A245610, A245611, A244153, A243065-A243066.

Programs

PARI

A064989(n) = my(f = factor(n)); for(i=1, #f~, if((2 == f[i,1]),f[i,1] = 1,f[i,1] = precprime(f[i,1]-1))); factorback(f);
A245605(n) = if(1==n, 1, if(0==(n%2), 2*A245605(A064989(n-1)), 1+(2*A245605(A064989(n)-1))));
A245607(n) = A245605(2*n)/2;
for(n=1, 10001, write("b245607.txt", n, " ", A245607(n)));

Scheme

(define (A245607 n) (A245605 (A064216 n)))

Formula

a(n) = A245605(2*n)/2.

As a composition of related permutations:

a(n) = A245605(A064216(n)).

a(n) = A245705(A245707(n)).