A334998 Permutation of nonnegative integers that converts A162912 into A162911.

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

Offset: 1

Author

Yosu Yurramendi, May 19 2020

Keywords

• nonn

Comments

For n > 0, A162912(a(n)) = A162911(n), as well as A162912(A054429(n)) = A162911(n). There is a self-inverse permutation, b, such that a(b(n)) = A054429(n), and a(n) = A054429(b(n)).

Links

• Yosu Yurramendi, Table of n, a(n) for n = 1..4095
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A334999 (inverse), A054429, A162911, A162912.

Programs

R

#
  nmax <- 31
A334998 <- 1; A334999 <- 1
for(n in 1:31) {
  A334998[2*n  ] <- 2*A334999[n]+1
  A334998[2*n+1] <- 2*n
  A334999[2*n  ] <- 2*n+1
  A334999[2*n+1] <- 2*A334998[n]
}
A334998; A334999