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Permutation of nonnegative integers: a(n) = A263272(A264974(n)).
7

%I #10 Dec 06 2015 21:12:57

%S 0,1,2,3,4,5,6,11,32,9,10,29,12,13,14,15,8,23,18,7,20,33,34,95,96,35,

%T 104,27,28,83,30,31,86,87,38,113,36,37,110,39,40,41,42,17,50,45,16,47,

%U 24,25,68,69,26,77,54,19,56,21,22,59,60,101,302,99,100,299,102,103,284,285,98,293,288,97,290,105,106,311,312,107,320,81

%N Permutation of nonnegative integers: a(n) = A263272(A264974(n)).

%H Antti Karttunen, <a href="/A264976/b264976.txt">Table of n, a(n) for n = 0..9841</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%F a(n) = A263272(A264974(n)).

%F a(n) = (1/2) * A263273(A263273(4*n) / 2).

%F Other identities. For all n >= 0:

%F a(3*n) = 3*a(n).

%F A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]

%o (Scheme, two alternative definitions)

%o (define (A264976 n) (A263272 (A264974 n)))

%o (define (A264976 n) (/ (A263273 (/ (A263273 (* 4 n)) 2)) 2))

%Y Inverse: A264975

%Y Cf. A000035, A263272, A263273, A264974.

%Y Cf. also A264991, A264992.

%K nonn

%O 0,3

%A _Antti Karttunen_, Dec 05 2015