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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The Fibonacci 9-step numbers referenced in the Noe-Post 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 n-step and Lucas n-step 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

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Last modified May 25 15:15 EDT 2019. Contains 323568 sequences. (Running on oeis4.)