A056548 a(n) = Sum_{k>=1} round(n/k) where round(1/2) = 0.

0, 1, 4, 7, 11, 15, 19, 23, 29, 32, 37, 43, 47, 52, 58, 62, 68, 73, 79, 84, 90, 94, 100, 108, 112, 117, 124, 128, 136, 142, 146, 152, 160, 165, 171, 177, 183, 188, 196, 202, 208, 215, 219, 227, 233, 237, 247, 253, 259, 263, 272, 277, 283, 293, 297, 303, 311, 315

Offset

0,3

Links

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

Formula

a(n) = A056549(n) - A001227(n).

From Ridouane Oudra, Oct 10 2025: (Start)

a(n) = Sum_{k=0..n-1} tau(n+k).

a(n) = Sum_{k=n..2n-1} tau(k).

a(n) = A006218(2*n-1) - A006218(n-1).

a(n) = A263086(2*n-1) - A006218(2*n-1).

a(n) = A077024(n) + A347286(n).

a(n) = A006591(n) + n - 1.

a(n) = A006586(n) + 2*n - 1, for n>0. (End)

Crossrefs

Cf. A000005, A001227, A006218, A056549, A263086, A077024, A347286, A006591, A006586.

Sequence in context: A310736 A310737 A278452 * A065981 A244240 A310738

Adjacent sequences: A056545 A056546 A056547 * A056549 A056550 A056551

Keyword

easy,nonn

Author

Henry Bottomley, Jun 21 2000

Status

approved