A328892 - OEIS

A328892

If n = Product (p_j^k_j) then a(n) = Sum (2^(k_j - 1)).

0, 1, 1, 2, 1, 2, 1, 4, 2, 2, 1, 3, 1, 2, 2, 8, 1, 3, 1, 3, 2, 2, 1, 5, 2, 2, 4, 3, 1, 3, 1, 16, 2, 2, 2, 4, 1, 2, 2, 5, 1, 3, 1, 3, 3, 2, 1, 9, 2, 3, 2, 3, 1, 5, 2, 5, 2, 2, 1, 4, 1, 2, 3, 32, 2, 3, 1, 3, 2, 3, 1, 6, 1, 2, 3, 3, 2, 3, 1, 9, 8, 2, 1, 4, 2, 2, 2, 5, 1, 4

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OFFSET

1,4

LINKS

Table of n, a(n) for n=1..90.

Index entries for sequences computed from exponents in factorization of n

FORMULA

If n = Product (p_j^k_j) then a(n) = Sum ordered partition(k_j).

Additive with a(p^e) = 2^(e-1).

EXAMPLE

a(72) = 6 because 72 = 2^3 * 3^2 and 2^(3 - 1) + 2^(2 - 1) = 6.

MAPLE