A351843 a(n) = sigma(n) * sopf(n).

0, 6, 12, 14, 30, 60, 56, 30, 39, 126, 132, 140, 182, 216, 192, 62, 306, 195, 380, 294, 320, 468, 552, 300, 155, 630, 120, 504, 870, 720, 992, 126, 672, 1026, 576, 455, 1406, 1260, 896, 630, 1722, 1152, 1892, 1092, 624, 1800, 2256, 620, 399, 651, 1440, 1470, 2862, 600, 1152

Offset

1,2

Links

Table of n, a(n) for n=1..55.

Formula

a(p) = p*(p+1) for p prime.

a(n) = Sum_{d|n} Sum_{p|n, p prime} d*p.

a(n) = A000203(n) * A008472(n).

Prog

(PARI) a(n) = my(f=factor(n)); sigma(f)*vecsum(f[, 1]~); \\ Michel Marcus, Feb 21 2022

Crossrefs

Cf. A000203 (sigma), A008472 (sopf).

Sequence in context: A113791 A292289 A281352 * A135763 A030659 A142338

Adjacent sequences: A351840 A351841 A351842 * A351844 A351845 A351846

Keyword

nonn

Author

Wesley Ivan Hurt, Feb 21 2022

Status

approved