cp's OEIS Frontend

A105753 Lexicographically earliest sequence of positive integers with the property that a(a(n)) = a(1)+a(2)+...+a(n).

%I A105753 #21 Apr 04 2015 21:39:41
%S A105753 1,3,4,8,6,22,9,16,53,11,133,13,279,15,573,69,18,1233,20,2486,23,44,
%T A105753 4995,25,10059,27,20145,29,40319,31,80669,33,161371,35,322777,37,
%U A105753 645591,39,1291221,41,2582483,43,5165009,5039,46,10335103,48
%N A105753 Lexicographically earliest sequence of positive integers with the property that a(a(n)) = a(1)+a(2)+...+a(n).
%C A105753 The Fibonacci 9-step numbers referenced in the Noe-Post paper are in A104144. - _T. D. Noe_, Oct 27 2008
%H A105753 Alois P. Heinz, <a href="/A105753/b105753.txt">Table of n, a(n) for n = 1..1000</a>
%H A105753 Tony D. Noe and Jonathan Vos Post, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL8/Noe/noe5.html">Primes in Fibonacci n-step and Lucas n-step Sequences</a>, J. of Integer Sequences 8 (2005), Article 05.4.4
%e A105753 Sequence reads from the beginning:
%e A105753 - at position a(1)=1 we see the sum of all previously written terms [indeed, nil + 1=1]
%e A105753 - at position a(2)=3 we see the sum of all previously written terms [indeed, 1+ 3=4]
%e A105753 - at position a(3)=4 we see the sum of all previously written terms [indeed, 1+3+4=8]
%e A105753 - at position a(4)=8 we see the sum of all previously written terms [indeed, 1+3+4+8=16]
%e A105753 - at position a(5)=6 we see the sum of all previously written terms [indeed, 1+3+4+8+6=22]
%e A105753 - at position a(6)=22 we see the sum of all previously written terms [indeed, 1+3+4+8+6+22=44 and 44 is the 22nd term of S]
%e A105753 etc.
%Y A105753 Cf. A121053, A121173, A121174, A121175, A104144.
%K A105753 nonn
%O A105753 1,2
%A A105753 _Eric Angelini_, Aug 13 2006
%E A105753 More terms from _Max Alekseyev_, Aug 14 2006
%E A105753 Edited by _Max Alekseyev_, Mar 08 2015