A351068 Number of integers less than the (n+1)-th primorial such that the maximal exponent in their prime factorization is larger than the maximal digit in their primorial base expansion.

0, 3, 14, 66, 357, 2038, 13544, 102891

Offset

1,2

Comments

a(n) is the number of terms of A350075 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) < A351070(n).

Crossrefs

Partial sums of A351067.

Cf. A002110, A051903, A276086, A328114, A350075, A351070.

Sequence in context: A240008 A151322 A373450 * A345683 A002320 A151323

Adjacent sequences: A351065 A351066 A351067 * A351069 A351070 A351071

Keyword

nonn,more

Author

Antti Karttunen, Feb 02 2022

Status

approved