A245712 -id:A245712 - cp's OEIS frontend

A245706 Permutation of natural numbers: a(n) = A245707(A245608(n)).

1, 2, 3, 4, 5, 6, 11, 8, 7, 10, 27, 12, 9, 22, 75, 16, 19, 14, 15, 20, 51, 54, 659, 24, 35, 18, 91, 44, 565, 150, 83, 32, 21, 38, 67, 28, 13, 30, 99, 40, 139, 102, 43, 108, 33, 1318, 651, 48, 73, 70, 115, 36, 53, 182, 63, 88, 105, 1130, 19179, 300, 1107, 166, 8875, 64, 555, 42

Offset: 1

Antti Karttunen, Jul 30 2014

nonn

The even bisection halved gives the sequence back. The odd bisection incremented by one and halved gives A245712.

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

Inverse: A245705.
Fixed points: A245709.
Cf. A245608, A245707, A245606, A245712.

A245706(n) = A245707(A245608(n));
for(n=1, 10001, write("b245706.txt", n, " ", A245706(n)));
\\ Other code as in A245608 and A245707.

(define (A245706 n) (A245707 (A245608 n)))

a(n) = A245707(A245608(n)).

A245711 Permutation of natural numbers, odd bisection of A245705 incremented by one and halved: a(n) = (1+A245705((2*n)-1)) / 2.

Original entry on oeis.org

1, 2, 3, 5, 7, 4, 19, 10, 35, 9, 17, 139, 107, 6, 37, 36, 23, 13, 555, 229, 87, 22, 275, 1676, 39, 11, 27, 68, 63, 326, 137, 28, 4435, 18, 53, 147, 25, 8, 6819, 9388, 995, 16, 155, 73, 3659, 14, 533, 838, 145, 20, 49, 851, 29, 587, 535, 403, 4179, 26, 501, 1059, 1611, 1163, 69, 152, 663, 51, 283, 222, 181, 21

Offset: 1

Antti Karttunen, Jul 30 2014

nonn

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

Inverse: A245712.

Cf. A245705, A245605.

A245711(n) = (1+A245705((2*n)-1))/2;
for(n=1, 10001, write("b245711.txt", n, " ", A245711(n)));
\\ For the rest of code, see under A245705.

(define (A245711 n) (/ (+ 1 (A245705 (+ n n -1))) 2))

a(n) = (1+A245705((2*n)-1)) / 2.

cp's OEIS Frontend

A245706 Permutation of natural numbers: a(n) = A245707(A245608(n)).

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