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