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A265690 Cardinality of shortest addition chain for n. 2

%I #6 Dec 23 2015 14:31:17

%S 1,2,3,3,4,4,5,4,5,5,6,5,6,6,6,5,6,6,7,6,7,7,7,6,7,7,7,7,8,7,8,6,7,7,

%T 8,7,8,8,8,7,8,8,8,8,8,8,9,7,8,8,8,8,9,8,9,8,9,9,9,8,9,9,9,7,8,8,9,8,

%U 9,9,10,8,9,9,9,9,9,9,10,8,9,9,9,9,9,9,10,9,10,9,10,9,10,10,10,8,9,9,9,9

%N Cardinality of shortest addition chain for n.

%C The cardinality of an addition chain is the number of terms in it, including the initial 1; hence it is one more than the length of the chain (A003313).

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Addition_chain">Addition chain</a>

%F a(n) = A003313(n) + 1.

%Y Cf. A003313 (much more information and links), A265691, A265692.

%K nonn

%O 1,2

%A _Franklin T. Adams-Watters_, Dec 13 2015

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