A376274 Number of prime divisors, counted with multiplicity, of A252043(n), the first n digits of the Champernowne constant.

0, 3, 2, 2, 3, 8, 2, 5, 4, 1, 3, 2, 6, 1, 6, 4, 3, 6, 3, 3, 3, 4, 4, 1, 5, 3, 6, 4, 6, 8, 10, 4, 8, 4, 6, 6, 4, 6, 6, 3, 5, 10, 9, 3, 8, 9, 7, 5, 4, 5, 7, 12, 3, 3, 6, 7, 6, 4, 2, 3, 8, 3, 9, 7, 4, 6, 4, 6, 6, 7, 9, 6, 5, 7, 7, 7, 4, 7, 7, 9, 10, 3, 7, 7, 5, 3, 8, 3, 6, 8, 10, 8, 3, 6, 9, 7, 8, 7, 14, 4

Offset

1,2

Links

Table of n, a(n) for n=1..100.

Formula

a(n) = A001222(A252043(n)).

Example

a(6) = 8 as A252043(6) = 123456 = 2^6 * 3 * 643, which has 8 prime divisors.

Mathematica

Lim=65; ch=RealDigits[ChampernowneNumber[], 10, Lim][[1]]; Table[PrimeOmega[FromDigits[Take[ch, n]]], {n, Lim}] (* James C. McMahon, Sep 19 2024 *)

Crossrefs

Cf. A252043, A033307, A176942, A001222.

Sequence in context: A248756 A059942 A032450 * A046460 A327661 A117643

Adjacent sequences: A376271 A376272 A376273 * A376275 A376276 A376277

Keyword

nonn,base

Author

Scott R. Shannon, Sep 18 2024

Status

approved