cp's OEIS Frontend

A120229 Split-floor-multiplier sequence (SFMS) using multipliers 1/3 and 3. The SFMS using multipliers r and s is here introduced: for every positive integer n and positive real number r, let [rn] abbreviate floor(rn). Then SFMS(r, s), where max {r, s} > 1, is the sequence a defined by a(n)=[rn] if [rn] > 0 and is not already in a and a(n) = [sn] otherwise.

%I A120229 #20 Dec 23 2024 14:53:42
%S A120229 3,6,1,12,15,2,21,24,27,30,33,4,39,42,5,48,51,54,57,60,7,66,69,8,75,
%T A120229 78,9,84,87,10,93,96,11,102,105,108,111,114,13,120,123,14,129,132,135,
%U A120229 138,141,16,147,150,17,156,159,18,165,168,19,174,177,20,183,186,189,192,195
%N A120229 Split-floor-multiplier sequence (SFMS) using multipliers 1/3 and 3. The SFMS using multipliers r and s is here introduced: for every positive integer n and positive real number r, let [rn] abbreviate floor(rn). Then SFMS(r, s), where max {r, s} > 1, is the sequence a defined by a(n)=[rn] if [rn] > 0 and is not already in a and a(n) = [sn] otherwise.
%C A120229 Self-inverse permutation of the natural numbers.
%D A120229 Responses to message "Murthy's sequence A073675" to the seqfan mailing list. The message and responses are dated Feb 02 2006 and relate to generalizations and properties of sequence A073675, which is SFMS(1/2,2).
%H A120229 <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan-old/2006-February/007226.html">Seqfan: about Murthy's sequence A073675 (1)</a>
%H A120229 <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan-old/2006-February/007228.html">Seqfan: about Murthy's sequence A073675 (2)</a>
%H A120229 <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan-old/2006-February/007232.html">Seqfan: about Murthy's sequence A073675 (3)</a>
%H A120229 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A120229 a(n) = [n/3] if this is positive and new, otherwise a(n)=3n.
%e A120229 a(1) = 1*3 because [1/3] is not positive.
%e A120229 a(2) = 2*3 because [2/3] is not positive.
%e A120229 a(3) = 1 = [3*(1/3)].
%e A120229 a(4) = 4*3 because [4/3] = a(3), not new.
%Y A120229 Cf. A073675, A120230.
%Y A120229 Row 3 and column 3 of A059897.
%K A120229 nonn
%O A120229 1,1
%A A120229 _Clark Kimberling_, Jun 11 2006