A026354 - OEIS

%I #12 Dec 21 2023 21:14:16

%S 1,2,3,3,4,5,4,6,5,7,8,6,9,10,7,11,8,12,13,9,14,10,15,16,11,17,18,12,

%T 19,13,20,21,14,22,23,15,24,16,25,26,17,27,18,28,29,19,30,31,20,32,21,

%U 33,34,22,35,23,36,37,24,38,39,25,40,26,41,42

%N a(n) = a(m) if a(m) has already occurred exactly once and n = a(m)+m-2, else a(n) = least positive integer that has not yet occurred.

%H Jeffrey Shallit, <a href="/A026354/a026354.pdf">Automaton for a(n)</a>

%F a(n)=n for n<4, a(n)=A026242(n-2)+2 for all n>2, a(n)=A026272(n-4)+3 for n>4. - _M. F. Hasler_, Sep 17 2014

%F There is a 35-state automaton that accepts, in parallel, the Fibonacci (Zeckendorf) representation of n and a(n).   See the file a026354.pdf. - _Jeffrey Shallit_, Dec 21 2023

%o (PARI) A026354=vector(2+#A026242,n,if(n>3,A026242[n-2]+2,n)) \\ Assumes the vector A026242 is defined, see there for PARI code. - _M. F. Hasler_, Sep 17 2014

%Y Cf. A026272.

%K nonn

%O 1,2

%A _Clark Kimberling_