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A265691 Irregular triangle read by rows: row n gives lexicographically first addition chain of minimal length for n. 2

%I #21 Dec 23 2015 17:57:19

%S 1,1,2,1,2,3,1,2,4,1,2,3,5,1,2,3,6,1,2,3,4,7,1,2,4,8,1,2,3,6,9,1,2,3,

%T 5,10,1,2,3,4,7,11,1,2,3,6,12,1,2,3,5,8,13,1,2,3,4,7,14,1,2,3,5,10,15,

%U 1,2,4,8,16,1,2,4,8,9,17,1,2,3,6,9,18,1,2,3,4,8,11,19,1,2,3,5,10,20

%N Irregular triangle read by rows: row n gives lexicographically first addition chain of minimal length for n.

%C The addition chains in this sequence for 1, 2, 3, 7 start respectively with 1, 1,2, 1,2,3, and 1,2,3,4. Are there minimal addition chains starting 1,2,3,4,5? 1,2,...,n for larger n?

%C Needs a b-file.

%e The table starts:

%e 1

%e 1 2

%e 1 2 3

%e 1 2 4

%e 1 2 3 5

%e 1 2 3 6

%e 1 2 3 4 7

%e 1 2 4 8

%e ...

%Y Cf. A265690 (row lengths), A265692 (largest).

%K nonn,tabf,nice

%O 1,3

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

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