

A105753


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


5



1, 3, 4, 8, 6, 22, 9, 16, 53, 11, 133, 13, 279, 15, 573, 69, 18, 1233, 20, 2486, 23, 44, 4995, 25, 10059, 27, 20145, 29, 40319, 31, 80669, 33, 161371, 35, 322777, 37, 645591, 39, 1291221, 41, 2582483, 43, 5165009, 5039, 46, 10335103, 48
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OFFSET

1,2


COMMENTS

The Fibonacci 9step numbers referenced in the NoePost paper are in A104144.  T. D. Noe, Oct 27 2008


LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000
Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci nstep and Lucas nstep Sequences, J. of Integer Sequences 8 (2005), Article 05.4.4


EXAMPLE

Sequence reads from the beginning:
 at position a(1)=1 we see the sum of all previously written terms [indeed, nil + 1=1]
 at position a(2)=3 we see the sum of all previously written terms [indeed, 1+ 3=4]
 at position a(3)=4 we see the sum of all previously written terms [indeed, 1+3+4=8]
 at position a(4)=8 we see the sum of all previously written terms [indeed, 1+3+4+8=16]
 at position a(5)=6 we see the sum of all previously written terms [indeed, 1+3+4+8+6=22]
 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]
etc.


CROSSREFS

Cf. A121053, A121173, A121174, A121175, A104144.
Sequence in context: A079787 A081307 A081543 * A292822 A255703 A255700
Adjacent sequences: A105750 A105751 A105752 * A105754 A105755 A105756


KEYWORD

nonn


AUTHOR

Eric Angelini, Aug 13 2006


EXTENSIONS

More terms from Max Alekseyev, Aug 14 2006
Edited by Max Alekseyev, Mar 08 2015


STATUS

approved



