A269847 Permutation of natural numbers: a(1) = 1, for n > 1, if n is an odd prime, a(n) = A003961(a(A000720(n))), otherwise a(n) = 2*a(n-A000720(n)).

1, 2, 3, 4, 5, 6, 9, 8, 10, 12, 7, 18, 15, 16, 20, 24, 25, 14, 27, 36, 30, 32, 21, 40, 48, 50, 28, 54, 45, 72, 11, 60, 64, 42, 80, 96, 75, 100, 56, 108, 35, 90, 81, 144, 22, 120, 63, 128, 84, 160, 192, 150, 135, 200, 112, 216, 70, 180, 49, 162, 33, 288, 44, 240, 126, 256, 125, 168, 320, 384, 225, 300, 105, 270, 400

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences that are permutations of the natural numbers

Formula

a(1) = 1, and for n > 1, if n is an odd prime, a(n) = A003961(a(A000720(n))), otherwise [when n is 2 or composite] a(n) = 2*a(n-A000720(n)).

a(1) = 1; if n is an odd prime, a(n) = A003961(a(A026233(n))), else a(n) = A005843(a(A026233(n))).

Declarative definition:

a(1)=1, a(A065091(n)) = A003961(a(n+1)), a(A065090(n+1)) = 2*a(n).

As a composition of other permutations:

a(n) = A163511(A071574(n)).

Other identities. For all n >= 1:

a(A007097(n)) = A000040(n). [Maps the terms of primeth recurrence to primes.]

Prog

(Scheme, with memoization-macro definec)
(definec (A269847 n) (cond ((<= n 1) n) ((and (odd? n) (= 1 (A010051 n))) (A003961 (A269847 (A000720 n)))) (else (* 2 (A269847 (- n (A000720 n)))))))

Crossrefs

Inverse: A269848.

Cf. A000040, A000720, A003961, A005843, A007097, A010051, A026233, A065090, A065091.

Related or similar permutations: A071574, A163511, A246681, A257730, A269857.

Sequence in context: A355460 A355809 A269857 * A358522 A279407 A245705

Adjacent sequences: A269844 A269845 A269846 * A269848 A269849 A269850

Keyword

nonn

Author

Antti Karttunen, Mar 06 2016

Status

approved