A162196 Sum of proper divisors minus the number of proper divisors of nonprime number A018252(n).

0, 1, 3, 4, 2, 5, 11, 7, 6, 11, 16, 17, 8, 11, 29, 4, 13, 10, 23, 35, 26, 12, 17, 10, 47, 19, 14, 43, 47, 35, 28, 23, 67, 6, 38, 18, 41, 59, 14, 57, 20, 29, 97, 31, 36, 57, 16, 71, 53, 24, 67, 112, 37, 44, 59, 16, 83, 97, 36, 41, 129, 20, 43, 30

Offset

1,3

Comments

Also, zero together with the positive integers of A152770.

Note that the k-th positive integer of this sequence is equal to the sum of proper divisors minus the number of proper divisors of the composite number A002808(k).

Links

Table of n, a(n) for n=1..64.

Formula

a(n) = A152770(A018252(n)).

a(n) = A001065(A018252(n)) - A032741(A018252(n)).

Maple

A162196 := proc(n)
        A152770(A018252(n)) ;
end proc: # R. J. Mathar, Sep 28 2011

Crossrefs

Cf. A001065, A018252, A002808, A032741, A152770, A152988, A152989, A152990, A162194, A162195.

Sequence in context: A367651 A214929 A205152 * A179297 A133620 A322965

Adjacent sequences: A162193 A162194 A162195 * A162197 A162198 A162199

Keyword

easy,nonn

Author

Omar E. Pol, Jul 04 2009

Status

approved