A351577 a(n) = A003557(A276076(n)).

1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 15, 15, 25, 25, 25, 25, 75, 75, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 5, 5, 5, 5, 15, 15, 25, 25, 25, 25, 75, 75, 7, 7, 7, 7, 21, 21, 7, 7, 7, 7, 21, 21, 35, 35, 35, 35, 105, 105, 175, 175, 175, 175, 525, 525, 49, 49, 49, 49, 147, 147, 49, 49, 49, 49, 147, 147, 245

Offset: 0

Author

Antti Karttunen, Apr 01 2022

Keywords

• nonn
• base
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 0..10080
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A003557, A085731, A276009, A276076, A328572, A351576, A351950, A351952.

Programs

PARI

A003557(n) = (n/factorback(factorint(n)[, 1]));
A276076(n) = { my(i=0,m=1,f=1,nextf); while((n>0),i=i+1; nextf = (i+1)*f; if((n%nextf),m*=(prime(i)^((n%nextf)/f));n-=(n%nextf));f=nextf); m; };
A351577(n) = A003557(A276076(n));

Formula

a(n) = A003557(A276076(n)).

a(n) = A276076(A276009(n)).

a(n) = A328572(A351576(n)).

a(n) = A085731(A276076(n)) = gcd(A276076(n), A351950(n)).