A056549 a(n) = Sum_{k>=1} round(n/k) where round(1/2)=1.

0, 2, 5, 9, 12, 17, 21, 25, 30, 35, 39, 45, 49, 54, 60, 66, 69, 75, 82, 86, 92, 98, 102, 110, 114, 120, 126, 132, 138, 144, 150, 154, 161, 169, 173, 181, 186, 190, 198, 206, 210, 217, 223, 229, 235, 243, 249, 255, 261, 266, 275, 281, 285, 295, 301, 307, 313, 319

Offset

0,2

Links

Table of n, a(n) for n=0..57.

Formula

a(n) = A056548(n) + A001227(n).

Conjecture: a(n) = n + Sum_{k=1..n} floor(n/k + 1/2) = n + A077024(n). - Ridouane Oudra, Apr 29 2019

Crossrefs

Cf. A001227, A006218, A056548, A077024.

Sequence in context: A276217 A354835 A086343 * A034806 A226822 A034307

Adjacent sequences: A056546 A056547 A056548 * A056550 A056551 A056552

Keyword

easy,nonn

Author

Henry Bottomley, Jun 21 2000

Status

approved