A394893 Number of integers x in range A002110(n-1) .. A002110(n)-1 such that the u-th arithmetic derivative of A276086(x) is zero for some u, and A328114(x) = prime(n-1), where A002110(n) is the n-th primorial, and A328114 gives the largest digit in the primorial base.

1, 2, 1, 4, 5, 23, 76, 554

Offset

1,2

Comments

Question: What is the eventual growth rate of this sequence?

Computing the term a(9) would be require almost as much resources as computing of the term A351071(8). See further comments in that sequence.

Links

Table of n, a(n) for n=1..8.

Prog

(PARI) A394893(n) = A394890_sq(n, prime(n)-1);

Crossrefs

Right edge of triangle A394890.

Cf. A002110, A003415, A276086, A328114, A328116, A351071.

Sequence in context: A243004 A375156 A137424 * A083007 A309845 A002987

Adjacent sequences: A394890 A394891 A394892 * A394894 A394895 A394896

Keyword

nonn,hard,more

Author

Antti Karttunen, Apr 07 2026

Status

approved