A210241 Partial sums of A073093.

1, 3, 5, 8, 10, 13, 15, 19, 22, 25, 27, 31, 33, 36, 39, 44, 46, 50, 52, 56, 59, 62, 64, 69, 72, 75, 79, 83, 85, 89, 91, 97, 100, 103, 106, 111, 113, 116, 119, 124, 126, 130, 132, 136, 140, 143, 145, 151, 154, 158, 161, 165, 167, 172, 175, 180, 183, 186, 188

Offset: 1

Author

Reinhard Zumkeller, Mar 19 2012

Keywords

• nonn

Comments

Number of terms in the first n rows of triangle A210208.

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A022559, A073093, A083342, A210208.

Programs

Haskell

a210241 n = a210241_list !! (n-1)
a210241_list = scanl1 (+) a073093_list

Mathematica

Accumulate[Array[PrimeOmega[#] + 1 &, 100]] (* Amiram Eldar, Apr 05 2025 *)

Formula

a(n) = A022559(n) + n.

a(n) = n * (log(log(n)) + B_2 + 1) + O(n/log(n)), where B_2 = A083342. - Amiram Eldar, Apr 05 2025