A376274 - OEIS

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

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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