A349170 - OEIS

A349170

a(n) = Sum_{d|n} d * A003959(n/d), where A003959 is fully multiplicative with a(p) = (p+1).

1, 5, 7, 19, 11, 35, 15, 65, 37, 55, 23, 133, 27, 75, 77, 211, 35, 185, 39, 209, 105, 115, 47, 455, 91, 135, 175, 285, 59, 385, 63, 665, 161, 175, 165, 703, 75, 195, 189, 715, 83, 525, 87, 437, 407, 235, 95, 1477, 169, 455, 245, 513, 107, 875, 253, 975, 273, 295, 119, 1463, 123, 315, 555, 2059, 297, 805, 135, 665

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OFFSET

1,2

COMMENTS

Dirichlet convolution of A003959 with the identity function, A000027.

Dirichlet convolution of sigma (A000203) with A003968.

LINKS

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

FORMULA

a(n) = Sum_{d|n} d * A003959(n/d).

a(n) = Sum_{d|n} A349171(d).

a(n) = Sum_{d|n} A000203(d) * A003968(n/d).