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The number m such that A003251(m) = A003231(n).
(Formerly M2521)
1

%I M2521 #20 Oct 21 2023 17:19:07

%S 3,6,9,12,15,18,21,23,26,29,32,35,38,41,44,47,50,53,56,59,61,64,67,70,

%T 73,76,79,82,84,87,90,93,96,99,102,105,108,111,114,117,120,122,125,

%U 128,131,134,137,140,143,145,148,151,154,157,159,162,165,168,171

%N The number m such that A003251(m) = A003231(n).

%C This is the function named lambda 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 a(n) = 3n - j(n), where j(n) is the maximum number such that j(n) <= A003249(n). [Carlitz, Theorem 7.15.] - _Eric M. Schmidt_, Aug 17 2014

%Y Cf. A003253.

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E Sequence corrected and extended by, and definition from _Eric M. Schmidt_, Aug 17 2014