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A003158 A self-generating sequence (see Comments in A003156 for the definition).
(Formerly M1734)
12

%I M1734

%S 2,7,10,13,18,23,28,31,34,39,42,45,50,53,56,61,66,71,74,77,82,87,92,

%T 95,98,103,108,113,116,119,124,127,130,135,138,141,146,151,156,159

%N A self-generating sequence (see Comments in A003156 for the definition).

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

%C 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

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

%H Alfred Brousseau, <a href="http://www.fq.math.ca/fibonacci-tables.html">Fibonacci and Related Number Theoretic Tables</a>, Fibonacci Association, San Jose, CA, 1972. See p. 67.

%H L. Carlitz, R. Scoville, and V. E. Hoggatt, Jr., <a href="http://www.fq.math.ca/Scanned/10-5/carlitz3-a.pdf">Representations for a special sequence</a>, Fibonacci Quarterly 10.5 (1972), 499-518, 550.

%F a(n) = A003157(n) - 1 = A079523(n) + n. - _Philippe Deléham_, Feb 22 2004

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

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E Definition clarified by _N. J. A. Sloane_, Dec 26 2020

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Last modified February 26 14:18 EST 2021. Contains 341632 sequences. (Running on oeis4.)