%I #10 Dec 13 2015 07:49:32

%S 0,1,2,3,4,5,9,13,8,6,10,14,12,7,11,15,16,17,33,49,20,21,37,53,36,25,

%T 41,57,52,29,45,61,32,18,34,50,24,22,38,54,40,26,42,58,56,30,46,62,48,

%U 19,35,51,28,23,39,55,44,27,43,59,60,31,47,63,64,65,129,193,68,81,145,209,132,97,161,225,196,113,177,241,80,69

%N Bijective base-4 reverse: a(0) = 0; for n >= 1, a(n) = A030103(A065883(n)) * A234957(n).

%C Self-inverse permutation of nonnegative integers.

%H Antti Karttunen, <a href="/A264994/b264994.txt">Table of n, a(n) for n = 0..16384</a>

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

%F a(0) = 0; for n >= 1, a(n) = A030103(A065883(n)) * A234957(n).

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

%F a(4*n) = 4*a(n).

%o (Scheme)

%o (define (A264994 n) (if (zero? n) n (* (A030103 (A065883 n)) (A234957 n))))

%Y Cf. A030103, A065883, A234957.

%Y Cf. A264993 (a(3n)/3), A265335 (a(5n)/5).

%Y Cf. also A057889 (base-2), A263273 (base-3), A264995 (base-5), A264979 (base-9).

%K nonn,base

%O 0,3

%A _Antti Karttunen_, Dec 07 2015