%I #13 Apr 09 2021 09:21:23

%S 1,1,1,1,1,1,2,2,1,1,1,1,2,2,2,2,1,1,1,1,2,2,2,2,3,2,3,2,3,2,3,2,1,1,

%T 1,1,2,2,2,2,2,2,3,2,3,2,3,2,3,3,3,3,3,3,3,3,4,4,4,2,5,4,3,2,1,1,1,1,

%U 2,1,2,1,2,2,2,2,3,2,3,2,3,3,3,2,4,3,3,2,4,3,4,3,4,3,4,2,3,4,4,3,4,3,4,3,3,4

%N Number of nonzero digits when A329886(n) is written in primorial base, where A329886 is the primorial inflation of Doudna-tree.

%H Antti Karttunen, <a href="/A342461/b342461.txt">Table of n, a(n) for n = 0..65537</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%F a(n) = A001221(A342456(n)) = A001221(A342457(n)).

%F a(n) = A267263(A329886(n)) = A329040(A005940(1+n)).

%F a(n) <= A342462(n).

%F For n >= 0, a(2^n) = 1.

%o (PARI) A342461(n) = omega(A342456(n)); \\ Other code as in A342456.

%Y Cf. A001221, A005940, A108951, A267263, A329886, A342456, A342457, A342462.

%Y Cf. also A324341, A329040.

%K nonn

%O 0,7

%A _Antti Karttunen_, Mar 15 2021