A003158 A self-generating sequence (see Comments in A003156 for the definition). (Formerly M1734)

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

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