A392140 - OEIS

A392140

Number of prime factors of 1+2^2+3^3+...+n^n (counted with multiplicity).

0, 1, 5, 7, 1, 1, 6, 6, 4, 1, 5, 5, 2, 7, 8, 7, 7, 5, 10, 8, 5, 4, 5, 6, 3, 3, 8, 6, 3, 1, 7, 6, 5, 5, 12, 14, 3, 3, 5, 7, 5, 5, 16, 5, 5, 7, 7, 5, 7, 7, 9, 9, 9, 7, 5, 4, 6, 6, 7, 8, 5, 5, 8, 12, 5, 3, 7, 15, 4, 7, 12, 10, 3, 4, 9, 6, 6, 5, 6, 9, 8, 2, 10, 7, 8, 8, 8, 7, 3, 7, 10, 8, 3, 8, 4

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OFFSET

1,3

COMMENTS

Are odd terms more frequent than even terms?

LINKS

Table of n, a(n) for n=1..95.

FORMULA

a(n) = bigomega(1+2^2+...+n^n) = A001222(A001923(n)).

EXAMPLE

a(4) = bigomega(1+2^2+3^3+4^4) = bigomega(288)=7, since 288=2*2*2*2*2*3*3.

PROG