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Numbers k which have even representation in Greedy Catalan Base, i.e., where A014418(k) ends with zero.
5

%I #12 Jul 16 2017 14:45:38

%S 0,2,4,5,7,9,10,12,14,16,18,19,21,23,24,26,28,30,32,33,35,37,38,40,42,

%T 44,46,47,49,51,52,54,56,58,60,61,63,65,66,68,70,72,74,75,77,79,80,82,

%U 84,86,88,89,91,93,94,96,98,100,102,103,105,107,108,110,112,114,116,117,119,121,122,124,126,128,130,131,132

%N Numbers k which have even representation in Greedy Catalan Base, i.e., where A014418(k) ends with zero.

%C A244229 works as an inverse function for this injection. We have A244229(a(n)) = n for all n.

%H Antti Karttunen, <a href="/A244222/b244222.txt">Table of n, a(n) for n = 0..9679</a>

%o (Scheme, with _Antti Karttunen_'s IntSeq-library)

%o (define A244222 (ZERO-POS 0 0 A244221))

%Y Complement: A244223.

%Y Characteristic function: A244220.

%Y Cf. A244221, A244229, A014418, A244161.

%K nonn

%O 0,2

%A _Antti Karttunen_, Jun 23 2014