A351070 Number of integers less than the (n+1)-th primorial such that the maximal exponent in their prime factorization is not less than the maximal digit in their primorial base expansion.

3, 9, 38, 160, 793, 4380, 28471, 213395

Offset

1,1

Comments

a(n) is the number of terms of A351038 smaller than A002110(1+n).

Links

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

Index entries for sequences related to primorial base

Formula

a(n) = Sum_{k=1..A002110(1+n)-1} [A328114(k) <= A051903(k)], where [ ] is the Iverson bracket.

For all n, a(n) > A351068(n).

Crossrefs

Partial sums of A351069.

Cf. A002110, A051903, A276086, A328114, A350075, A351038, A351039.

Sequence in context: A149023 A149024 A149025 * A346056 A133222 A103942

Adjacent sequences: A351067 A351068 A351069 * A351071 A351072 A351073

Keyword

nonn,more

Author

Antti Karttunen, Feb 02 2022

Status

approved