login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A003158 A self-generating sequence (see Comments in A003156 for the definition).
(Formerly M1734)
12
2, 7, 10, 13, 18, 23, 28, 31, 34, 39, 42, 45, 50, 53, 56, 61, 66, 71, 74, 77, 82, 87, 92, 95, 98, 103, 108, 113, 116, 119, 124, 127, 130, 135, 138, 141, 146, 151, 156, 159 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers not of the form Sum_{i>=2} e_i*A001045(i), with e(i) = 0 or 1.

Indices of b in the sequence closed under a -> abc, b -> a, c -> a, starting with a(1) = a; see A092606 where a = 0, b = 2, c = 1. - Philippe Deléham, Apr 12 2004

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..40.

Alfred Brousseau, Fibonacci and Related Number Theoretic Tables, Fibonacci Association, San Jose, CA, 1972. See p. 67.

L. Carlitz, R. Scoville, and V. E. Hoggatt, Jr., Representations for a special sequence, Fibonacci Quarterly 10.5 (1972), 499-518, 550.

FORMULA

a(n) = A003157(n) - 1 = A079523(n) + n. - Philippe Deléham, Feb 22 2004

CROSSREFS

Cf. A001045, A003156, A003157, A079523, A092606.

Sequence in context: A026364 A203621 A297832 * A130336 A303741 A085303

Adjacent sequences:  A003155 A003156 A003157 * A003159 A003160 A003161

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Definition clarified by N. J. A. Sloane, Dec 26 2020

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 22 00:57 EST 2021. Contains 340359 sequences. (Running on oeis4.)