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A105195 Length of shortest simple Lucas chain for n. 3
1, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 6, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 8, 8, 7, 8, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

Lucas chains are addition chains with additional requirements on the presence of differences between members of the chain.

(i) a(4) is given as 2 in Table 5.1 of the reference, which probably is a typographical error since the length of the example obviously is the same as for a(5).

(ii) Other authors call a(n)+1 the length of the chain, ie, they include the first 1 of the chain in the count. - R. J. Mathar, May 24 2008

LINKS

Table of n, a(n) for n=2..36.

Daniel Bleichenbacher, Efficiency and Security of Cryptosystems based on Number Theory. PhD Thesis, Diss. ETH No. 11404, Zuerich 1996. See p. 64.

Index to sequences related to the complexity of n

EXAMPLE

Chain for n=11: (0,1,2,3,4,7,11), length 5. Chain for n=12: (0,1,2,3,5,7,12), length 5.

Chain for n=13: (0,1,2,3,5,8,13), length 5. Chain for n=14: (0,1,2,3,4,5,9,14), length 6. - R. J. Mathar, May 24 2008

CROSSREFS

Cf. A104892, A105096, A003313.

Sequence in context: A213711 A072649 A266082 * A257569 A039836 A083398

Adjacent sequences:  A105192 A105193 A105194 * A105196 A105197 A105198

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 23 2008

EXTENSIONS

a(11)-a(36) added by R. J. Mathar, May 24 2008

STATUS

approved

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Last modified February 21 15:11 EST 2019. Contains 320374 sequences. (Running on oeis4.)