A328518 Number of terms k in A002182 that have A001222(k) = n.

1, 1, 2, 1, 3, 3, 4, 3, 3, 5, 8, 7, 8, 9, 10, 8, 9, 9, 9, 12, 11, 10, 11, 13, 13, 13, 13, 14, 16, 16, 16, 18, 18, 17, 21, 19, 18, 18, 22, 22, 23, 22, 23, 22, 25, 26, 28, 28, 27, 27, 29, 29, 30, 31, 32, 34, 30, 29, 29, 30, 31, 33, 35, 35, 32, 30, 32, 33, 31, 30, 30, 33

Offset: 0

Author

David A. Corneth, Jan 04 2020

Keywords

• nonn

Comments

If for every term t > 1 in A002182 there is some term t/p where p|t in A002182 then a(n) > 0 for all n.

The above hypothesis isn't true, e.g., t = A002182(815) is a counterexample. But it is surely true that a(n) > 0 for all n, see the graph of A112778. - M. F. Hasler, Jan 08 2020

Crossrefs

Cf. A001222, A002182.

Cf. A112778 (bigomega of HCNs).

Programs

PARI

{my(v=v112778,c=Vec(0,vecmax(v)));for(i=2,#v,c[v[i]]++);c[1..-log(#c)\1]} \\ Does not include the leading a(0)=1. Discards log(#c) possibly inaccurate trailing terms. Vector v112778 must be defined, e.g., from b-file of A112778. - M. F. Hasler, Jan 08 2020