A351068 - OEIS

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.

%I #5 Feb 02 2022 15:09:07

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

%N 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.

%C a(n) is the number of terms of A350075 smaller than A002110(1+n).

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

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

%F For all n, a(n) < A351070(n).

%Y Partial sums of A351067.

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

%K nonn,more

%O 1,2

%A _Antti Karttunen_, Feb 02 2022