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a(n) = A011772(A276086(n)).
1

%I #9 Aug 01 2021 18:37:49

%S 1,3,2,3,8,8,4,4,5,15,9,35,24,24,24,24,99,99,124,124,125,375,125,999,

%T 624,624,624,624,1250,5624,6,7,6,20,27,27,14,20,14,20,35,35,49,175,

%U 125,224,125,224,125,875,125,875,125,3500,1875,1875,1875,1875,4374,15624,48,48,48,48,98,440,49,195,195,195,440,440,49

%N a(n) = A011772(A276086(n)).

%H Antti Karttunen, <a href="/A346472/b346472.txt">Table of n, a(n) for n = 0..2310</a>

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

%F a(n) = A011772(A276086(n)).

%o (PARI)

%o A011772(n) = { if(n==1, return(1)); my(f=factor(if(n%2, n, 2*n)), step=vecmax(vector(#f~, i, f[i, 1]^f[i, 2]))); forstep(m=step, 2*n, step, if(m*(m-1)/2%n==0, return(m-1)); if(m*(m+1)/2%n==0, return(m))); }; \\ From A011772

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A346472(n) = A011772(A276086(n));

%Y Cf. A011772, A276086.

%K nonn,base,look

%O 0,2

%A _Antti Karttunen_, Jul 20 2021