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

1,2

Comments

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

Links

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

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

Mathematica

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

Prog

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

Crossrefs

Cf. A022559, A073093, A083342, A210208.

Sequence in context: A085225 A080370 A175540 * A190498 A077472 A184733

Adjacent sequences: A210238 A210239 A210240 * A210242 A210243 A210244

Keyword

nonn

Author

Reinhard Zumkeller, Mar 19 2012

Status

approved