A280085 Partial sums of A206032 (Product_{d|n} sigma(d)).

1, 4, 8, 29, 35, 179, 187, 502, 554, 878, 890, 29114, 29128, 29704, 30280, 40045, 40063, 113071, 113091, 208347, 209371, 210667, 210691, 25612291, 25612477, 25614241, 25616321, 25842113, 25842143, 52715999, 52716031, 53331226, 53333530, 53336446, 53338750

Offset

1,2

Comments

sigma(n) is the sum of the divisors of n (A000203).

Links

Table of n, a(n) for n=1..35.

Formula

a(n) = Sum_{i=1..n} A206032(i).

Mathematica

Accumulate@ Array[Product[DivisorSigma[1, d], {d, Divisors@ #}] &, 35] (* Michael De Vlieger, Dec 26 2016 *)

Prog

(Magma) [&+[&*[SumOfDivisors(d): d in Divisors(k)]: k in [1..n]]: n in [1..100]]

Crossrefs

Cf. A000203, A007429, A206032, A280077 (partial sums of A007429), A280086 (partial products of A206032).

Sequence in context: A025234 A075308 A300461 * A322784 A297638 A256456

Adjacent sequences: A280082 A280083 A280084 * A280086 A280087 A280088

Keyword

nonn

Author

Jaroslav Krizek, Dec 26 2016

Status

approved