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A378647

Dirichlet convolution of A074206 and A103977, where A074206 is the number of ordered factorizations of n, and A103977 is the Zumkeller deficiency of n.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 13, 14, 15, 16, 17, 22, 19, 22, 21, 22, 23, 40, 25, 26, 27, 28, 29, 42, 31, 32, 33, 34, 35, 64, 37, 38, 39, 52, 41, 54, 43, 44, 45, 46, 47, 96, 49, 50, 51, 52, 53, 70, 55, 64, 57, 58, 59, 126, 61, 62, 63, 64, 65, 78, 67, 68, 69, 74, 71, 176, 73, 74, 75, 76, 77, 90, 79, 120, 81

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OFFSET

1,2

COMMENTS

Möbius transform of A378648, which is the Dirichlet convolution of A067824 and A103977.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..20000

FORMULA

a(n) = Sum_{d|n} A074206(d)*A103977(n/d).

a(n) = Sum_{d|n} A008683(d)*A378648(n/d).

a(n) = Sum_{d|n} A067824(d)*A378644(n/d).

a(n) = A378650(n)+n, with a(n) = n if and only if n is a non-abundant number (A263837).