%I M3405 #17 Oct 21 2023 17:22:39

%S 4,11,15,22,26,29,33,40,44,51,58,62,69,73,76,80,87,91,98,102,105,109,

%T 116,120,127,134,138,145,149,152,156,163,167,174,178,181,185,192,196,

%U 199,203,210,214,221,225,228,232,239,243,250,257,261,268,272,275,279

%N The number m such that A001950(m) = A003231(A003234(n)).

%C This is the function named z in [Carlitz]. - _Eric M. Schmidt_, Aug 14 2014

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H L. Carlitz, R. Scoville and T. Vaughan, <a href="http://www.fq.math.ca/Scanned/11-4/carlitz.pdf">Some arithmetic functions related to Fibonacci numbers</a>, Fib. Quart., 11 (1973), 337-386.

%F From _Eric M. Schmidt_, Aug 14 2014: (Start)

%F a(n) = ceiling((1/phi^2) * A003231(A003234(n))), where phi is the golden ratio.

%F a(n) = 5*k - 1 - A003231(k), where k = A003234(n). [Cf. Theorems 4.1(ii) and 5.9(vii) in Carlitz.]

%F Conjecture: a(n) = floor((3-phi)*A003234(n)).

%F (End)

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E More terms and a definition from _Eric M. Schmidt_, Aug 14 2014