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A342464 Largest digit value when A329886(n) is written in primorial base, where A329886 is the primorial inflation of Doudna-tree.

%I A342464 #11 Mar 18 2021 23:39:50
%S A342464 1,1,1,2,1,2,1,1,1,2,6,4,4,2,1,2,1,2,6,4,8,5,5,3,6,8,5,4,11,2,6,1,1,2,
%T A342464 6,4,4,1,3,1,16,5,4,3,9,10,8,3,10,12,10,6,10,7,2,3,18,10,5,4,12,2,4,2,
%U A342464 1,2,6,4,13,12,10,8,12,8,13,2,4,6,7,2,15,15,12,10,9,8,7,6,10,12,10,9,11,6,9,6,18,15
%N A342464 Largest digit value when A329886(n) is written in primorial base, where A329886 is the primorial inflation of Doudna-tree.
%H A342464 Antti Karttunen, <a href="/A342464/b342464.txt">Table of n, a(n) for n = 0..16383</a>
%H A342464 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%H A342464 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A342464 a(n) = A328114(A329886(n)) = A051903(A342456(n)) = A329344(A005940(1+n)).
%o A342464 (PARI)
%o A342464 A283980(n) = {my(f=factor(n)); prod(i=1, #f~, my(p=f[i, 1], e=f[i, 2]); if(p==2, 6, nextprime(p+1))^e)}; \\ From A283980
%o A342464 A329886(n) = if(n<2,1+n,if(!(n%2),A283980(A329886(n/2)),2*A329886(n\2)));
%o A342464 A328114(n) = { my(s=0, p=2); while(n, s = max(s,(n%p)); n = n\p; p = nextprime(1+p)); (s); };
%o A342464 A342464(n) = A328114(A329886(n));
%Y A342464 Cf. A005940, A051903, A108951, A276086, A328114, A329344, A329886, A342456, A342461, A342462.
%K A342464 nonn
%O A342464 0,4
%A A342464 _Antti Karttunen_, Mar 15 2021