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A230697 Length of shortest addition-multiplication chain for n. 0
0, 1, 2, 2, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 5, 5, 6, 4, 4, 5, 4, 5, 5, 5, 6, 4, 5, 5, 5, 4, 5, 5, 5, 5, 6, 5, 6, 6, 5, 6, 6, 5, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 7, 5, 6, 6, 6, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 5, 6, 6, 6, 7, 5, 4, 5, 5, 5, 6, 6, 6, 6, 6, 5, 6, 6, 6, 7, 7, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 7, 5, 6, 6, 6, 6, 7, 6, 7, 6, 6, 7, 7, 6, 5, 6, 6, 6, 5, 6, 6, 5, 6, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..130.

H. M. Bahig, On a generalization of addition chains: Addition-multiplication chains, Discrete Mathematics 308 (2008), 611-616

EXAMPLE

A shortest addition-multiplication chain for 16 is (1,2,4,16), of length 3.

CROSSREFS

Cf. A003313, A128998, A173419, A005245

Sequence in context: A322006 A173419 A099053 * A322163 A075167 A253555

Adjacent sequences:  A230694 A230695 A230696 * A230698 A230699 A230700

KEYWORD

nonn

AUTHOR

Harry Altman, Oct 27 2013

STATUS

approved

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Last modified February 16 19:49 EST 2019. Contains 320167 sequences. (Running on oeis4.)