A175649 a(n) = sopf(n) + sopf(n+1).

2, 5, 5, 7, 10, 12, 9, 5, 10, 18, 16, 18, 22, 17, 10, 19, 22, 24, 26, 17, 23, 36, 28, 10, 20, 18, 12, 38, 39, 41, 33, 16, 33, 31, 17, 42, 58, 37, 23, 48, 53, 55, 56, 21, 33, 72, 52, 12, 14, 27, 35, 68, 58, 21, 25, 31, 53, 90, 69, 71, 94, 43, 12, 20, 34, 83, 86, 45, 40, 85, 76

Offset

1,1

Comments

a(n)=A008472(n)+A008472(n+1).

a(n)=A008472(n(n+1)). - Jon Maiga, Jul 26 2019

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

sopf[n_] := If[n < 2, 0, Plus @@ FactorInteger[n][[All, 1]]];
Table[sopf[n] + sopf[n + 1], {n, 71}] (* Jon Maiga, Jul 26 2019 *)
Join[{2}, Total/@Partition[Table[Total[FactorInteger[n][[All, 1]]], {n, 2, 80}], 2, 1]] (* Harvey P. Dale, Jan 08 2022 *)

Crossrefs

Cf. A008472.

Sequence in context: A256300 A342852 A023850 * A240497 A142353 A161180

Adjacent sequences: A175646 A175647 A175648 * A175650 A175651 A175652

Keyword

nonn

Author

Zak Seidov, Aug 02 2010

Status

approved