A376397 a(n) = A276075(n!), where A276075 is the factorial base log-function.

0, 1, 3, 5, 11, 14, 38, 41, 45, 52, 172, 176, 896, 921, 929, 933, 5973, 5978, 46298, 46306, 46332, 46453, 409333, 409338, 409350, 410071, 410077, 410103, 4038903, 4038912, 43955712, 43955717, 43955839, 43960880, 43960910, 43960916, 522962516, 523002837, 523003559, 523003568, 6750024368, 6750024395, 93928315595

Offset: 1

Author

Antti Karttunen, Oct 28 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..3000
• Index entries for sequences related to factorial numbers

Crossrefs

Partial sums of A276075.

Cf. A000142.

Cf. also A007489, A336415, A376398.

Programs

PARI

A276075(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*(primepi(f[k, 1])!)); };
A376397(n) = A276075(n!);

Formula

a(n) = A276075(A000142(n)).

a(n) = Sum_{i=1..n} A276075(i).