A333226 - OEIS

%I #6 Mar 28 2020 17:46:16

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

%T 4,3,6,6,3,4,6,2,2,6,2,2,2,5,4,6,3,6,2,2,2,4,3,2,2,3,2,2,1,7,6,10,5,

%U 12,4,4,4,12,3,6,6,3,6,6,3,10,4,6,6,6,2,2

%N Least common multiple of the n-th composition in standard order.

%C The k-th composition in standard order (row k of A066099) is obtained by taking the set of positions of 1's in the reversed binary expansion of k, prepending 0, taking first differences, and reversing again.

%t stc[n_]:=Differences[Prepend[Join@@Position[Reverse[IntegerDigits[n,2]],1],0]]//Reverse;

%t Table[LCM@@stc[n],{n,100}]

%Y The version for binary indices is A271410.

%Y The version for prime indices is A290103.

%Y Positions of first appearances are A333225.

%Y Let q(k) be the k-th composition in standard order:

%Y - The terms of q(k) are row k of A066099.

%Y - The sum of q(k) is A070939(k).

%Y - The product of q(k) is A124758(k).

%Y - The GCD of q(k) is A326674(k).

%Y - The LCM of q(k) is A333226(k).

%Y Cf. A000120, A029931, A048793, A074971, A076078, A233564, A285572, A289508, A289509, A324837, A333227, A333492.

%K nonn

%O 1,2

%A _Gus Wiseman_, Mar 26 2020