A376398 a(n) = A276085(n!), where A276085 is the primorial base log-function.

0, 1, 3, 5, 11, 14, 44, 47, 51, 58, 268, 272, 2582, 2613, 2621, 2625, 32655, 32660, 543170, 543178, 543210, 543421, 10243111, 10243116, 10243128, 10245439, 10245445, 10245477, 233338347, 233338356, 6703031586, 6703031591, 6703031803, 6703061834, 6703061870, 6703061876, 207263552006, 207264062517, 207264064829, 207264064838

Offset: 1

Author

Antti Karttunen, Oct 28 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..2310
• Index entries for sequences related to factorial numbers
• Index entries for sequences related to primorial numbers

Crossrefs

Partial sums of A276085.

Cf. A000142, A002110.

Cf. also A143293, A336415, A376397.

Programs

PARI

A276085(n) = { my(f=factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1,primepi(f[k, 1]-1),prime(i))); };
A376398(n) = A276085(n!);

Formula

a(n) = A276085(A000142(n)).

a(n) = Sum_{i=1..n} A276085(i).